Solve for X 12=15-3/4X

$12 = 15 - \frac{3}{4} X$

Step 1

Rewrite the equation as $15 - \frac{3}{4} X = 12$ .

$15 - \frac{3}{4} X = 12$

Step 2

Simplify each term.

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

$15 - \frac{X \cdot 3}{4} = 12$

Move $3$ to the left of $X$ .

$15 - \frac{3 X}{4} = 12$

Step 3

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

Subtract $15$ from both sides of the equation.

$- \frac{3 X}{4} = 12 - 15$

Subtract $15$ from $12$ .

$- \frac{3 X}{4} = - 3$

Step 4

Multiply both sides of the equation by $- \frac{4}{3}$ .

$- \frac{4}{3} (- \frac{3 X}{4}) = - \frac{4}{3} \cdot - 3$

Step 5

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{4}{3} (- \frac{3 X}{4})$ .

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{4}{3}$ into the numerator.

$\frac{- 4}{3} (- \frac{3 X}{4}) = - \frac{4}{3} \cdot - 3$

Move the leading negative in $- \frac{3 X}{4}$ into the numerator.

$\frac{- 4}{3} \cdot \frac{- 3 X}{4} = - \frac{4}{3} \cdot - 3$

Factor $4$ out of $- 4$ .

$\frac{4 (- 1)}{3} \cdot \frac{- 3 X}{4} = - \frac{4}{3} \cdot - 3$

Cancel the common factor.

$\frac{4 \cdot - 1}{3} \cdot \frac{- 3 X}{4} = - \frac{4}{3} \cdot - 3$

Rewrite the expression.

$\frac{- 1}{3} (- 3 X) = - \frac{4}{3} \cdot - 3$

Cancel the common factor of $3$ .

Factor $3$ out of $- 3 X$ .

$\frac{- 1}{3} (3 (- X)) = - \frac{4}{3} \cdot - 3$

Cancel the common factor.

$\frac{- 1}{3} (3 (- X)) = - \frac{4}{3} \cdot - 3$

Rewrite the expression.

$- - X = - \frac{4}{3} \cdot - 3$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 X = - \frac{4}{3} \cdot - 3$

Multiply $X$ by $1$ .

$X = - \frac{4}{3} \cdot - 3$

Simplify the right side.

Simplify $- \frac{4}{3} \cdot - 3$ .

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{4}{3}$ into the numerator.

$X = \frac{- 4}{3} \cdot - 3$

Factor $3$ out of $- 3$ .

$X = \frac{- 4}{3} \cdot (3 (- 1))$

Cancel the common factor.

$X = \frac{- 4}{3} \cdot (3 \cdot - 1)$

Rewrite the expression.

$X = - 4 \cdot - 1$

Multiply $- 4$ by $- 1$ .

$X = 4$

Solve for X 12=15-3/4X

Related Questions

Support LCMGCF.com by disabling your adblocker.