Solve for s 2-2s=3/4s+14

$2 - 2 s = \frac{3}{4} s + 14$

Combine $\frac{3}{4}$ and $s$ .

$2 - 2 s = \frac{3 s}{4} + 14$

Move all terms containing $s$ to the left side of the equation.

Subtract $\frac{3 s}{4}$ from both sides of the equation.

$2 - 2 s - \frac{3 s}{4} = 14$

To write $- 2 s$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$2 - 2 s \cdot \frac{4}{4} - \frac{3 s}{4} = 14$

Combine $- 2 s$ and $\frac{4}{4}$ .

$2 + \frac{- 2 s \cdot 4}{4} - \frac{3 s}{4} = 14$

Combine the numerators over the common denominator.

$2 + \frac{- 2 s \cdot 4 - 3 s}{4} = 14$

Simplify each term.

Simplify the numerator.

Factor $s$ out of $- 2 s \cdot 4 - 3 s$ .

Factor $s$ out of $- 2 s \cdot 4$ .

$2 + \frac{s (- 2 \cdot 4) - 3 s}{4} = 14$

Factor $s$ out of $- 3 s$ .

$2 + \frac{s (- 2 \cdot 4) + s \cdot - 3}{4} = 14$

Factor $s$ out of $s (- 2 \cdot 4) + s \cdot - 3$ .

$2 + \frac{s (- 2 \cdot 4 - 3)}{4} = 14$

Multiply $- 2$ by $4$ .

$2 + \frac{s (- 8 - 3)}{4} = 14$

Subtract $3$ from $- 8$ .

$2 + \frac{s \cdot - 11}{4} = 14$

Move $- 11$ to the left of $s$ .

$2 + \frac{- 11 \cdot s}{4} = 14$

Move the negative in front of the fraction.

$2 - \frac{11 s}{4} = 14$

Move all terms not containing $s$ to the right side of the equation.

Subtract $2$ from both sides of the equation.

$- \frac{11 s}{4} = 14 - 2$

Subtract $2$ from $14$ .

$- \frac{11 s}{4} = 12$

Multiply both sides of the equation by $- \frac{4}{11}$ .

$- \frac{4}{11} (- \frac{11 s}{4}) = - \frac{4}{11} \cdot 12$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{4}{11} (- \frac{11 s}{4})$ .

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{4}{11}$ into the numerator.

$\frac{- 4}{11} (- \frac{11 s}{4}) = - \frac{4}{11} \cdot 12$

Move the leading negative in $- \frac{11 s}{4}$ into the numerator.

$\frac{- 4}{11} \cdot \frac{- 11 s}{4} = - \frac{4}{11} \cdot 12$

Factor $4$ out of $- 4$ .

$\frac{4 (- 1)}{11} \cdot \frac{- 11 s}{4} = - \frac{4}{11} \cdot 12$

Cancel the common factor.

$\frac{4 \cdot - 1}{11} \cdot \frac{- 11 s}{4} = - \frac{4}{11} \cdot 12$

Rewrite the expression.

$\frac{- 1}{11} (- 11 s) = - \frac{4}{11} \cdot 12$

Cancel the common factor of $11$ .

Factor $11$ out of $- 11 s$ .

$\frac{- 1}{11} (11 (- s)) = - \frac{4}{11} \cdot 12$

Cancel the common factor.

$\frac{- 1}{11} (11 (- s)) = - \frac{4}{11} \cdot 12$

Rewrite the expression.

$- - s = - \frac{4}{11} \cdot 12$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 s = - \frac{4}{11} \cdot 12$

Multiply $s$ by $1$ .

$s = - \frac{4}{11} \cdot 12$

Simplify the right side.

Simplify $- \frac{4}{11} \cdot 12$ .

Multiply $- \frac{4}{11} \cdot 12$ .

Multiply $12$ by $- 1$ .

$s = - 12 (\frac{4}{11})$

Combine $- 12$ and $\frac{4}{11}$ .

$s = \frac{- 12 \cdot 4}{11}$

Multiply $- 12$ by $4$ .

$s = \frac{- 48}{11}$

Move the negative in front of the fraction.

$s = - \frac{48}{11}$

The result can be shown in multiple forms.

Exact Form:

$s = - \frac{48}{11}$

Decimal Form:

$s = - 4.\overline{36}$

Mixed Number Form:

$s = - 4 \frac{4}{11}$

Solve for s 2-2s=3/4s+14

Related Questions

Support LCMGCF.com by disabling your adblocker.