Solve for x 8/5+(3x+7)/10=-1

$\frac{8}{5} + \frac{3 x + 7}{10} = - 1$

Step 1

Simplify $\frac{8}{5} + \frac{3 x + 7}{10}$ .

To write $\frac{8}{5}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{8}{5} \cdot \frac{2}{2} + \frac{3 x + 7}{10} = - 1$

Write each expression with a common denominator of $10$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{8}{5}$ by $\frac{2}{2}$ .

$\frac{8 \cdot 2}{5 \cdot 2} + \frac{3 x + 7}{10} = - 1$

Multiply $5$ by $2$ .

$\frac{8 \cdot 2}{10} + \frac{3 x + 7}{10} = - 1$

Combine the numerators over the common denominator.

$\frac{8 \cdot 2 + 3 x + 7}{10} = - 1$

Simplify the numerator.

Multiply $8$ by $2$ .

$\frac{16 + 3 x + 7}{10} = - 1$

Add $16$ and $7$ .

$\frac{3 x + 23}{10} = - 1$

Step 2

Multiply both sides by $10$ .

$\frac{3 x + 23}{10} \cdot 10 = - 1 \cdot 10$

Step 3

Simplify.

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{3 x + 23}{10} \cdot 10 = - 1 \cdot 10$

Rewrite the expression.

$3 x + 23 = - 1 \cdot 10$

Simplify the right side.

Multiply $- 1$ by $10$ .

$3 x + 23 = - 10$

Step 4

Solve for $x$ .

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

Subtract $23$ from both sides of the equation.

$3 x = - 10 - 23$

Subtract $23$ from $- 10$ .

$3 x = - 33$

Divide each term in $3 x = - 33$ by $3$ and simplify.

Divide each term in $3 x = - 33$ by $3$ .

$\frac{3 x}{3} = \frac{- 33}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{- 33}{3}$

Divide $x$ by $1$ .

$x = \frac{- 33}{3}$

Simplify the right side.

Divide $- 33$ by $3$ .

$x = - 11$

Solve for x 8/5+(3x+7)/10=-1

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