Solve for x 5(x-1)+16(2x+3)=3(2x-7)-x

$5 (x - 1) + 16 (2 x + 3) = 3 (2 x - 7) - x$

Simplify $5 (x - 1) + 16 (2 x + 3)$ .

Simplify each term.

Apply the distributive property.

$5 x + 5 \cdot - 1 + 16 (2 x + 3) = 3 (2 x - 7) - x$

Multiply $5$ by $- 1$ .

$5 x - 5 + 16 (2 x + 3) = 3 (2 x - 7) - x$

Apply the distributive property.

$5 x - 5 + 16 (2 x) + 16 \cdot 3 = 3 (2 x - 7) - x$

Multiply $2$ by $16$ .

$5 x - 5 + 32 x + 16 \cdot 3 = 3 (2 x - 7) - x$

Multiply $16$ by $3$ .

$5 x - 5 + 32 x + 48 = 3 (2 x - 7) - x$

Simplify by adding terms.

Add $5 x$ and $32 x$ .

$37 x - 5 + 48 = 3 (2 x - 7) - x$

Add $- 5$ and $48$ .

$37 x + 43 = 3 (2 x - 7) - x$

Simplify $3 (2 x - 7) - x$ .

Simplify each term.

Apply the distributive property.

$37 x + 43 = 3 (2 x) + 3 \cdot - 7 - x$

Multiply $2$ by $3$ .

$37 x + 43 = 6 x + 3 \cdot - 7 - x$

Multiply $3$ by $- 7$ .

$37 x + 43 = 6 x - 21 - x$

Subtract $x$ from $6 x$ .

$37 x + 43 = 5 x - 21$

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

Subtract $5 x$ from both sides of the equation.

$37 x + 43 - 5 x = - 21$

Subtract $5 x$ from $37 x$ .

$32 x + 43 = - 21$

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

Subtract $43$ from both sides of the equation.

$32 x = - 21 - 43$

Subtract $43$ from $- 21$ .

$32 x = - 64$

Divide each term in $32 x = - 64$ by $32$ and simplify.

Divide each term in $32 x = - 64$ by $32$ .

$\frac{32 x}{32} = \frac{- 64}{32}$

Simplify the left side.

Cancel the common factor of $32$ .

Cancel the common factor.

$\frac{32 x}{32} = \frac{- 64}{32}$

Divide $x$ by $1$ .

$x = \frac{- 64}{32}$

Simplify the right side.

Divide $- 64$ by $32$ .

$x = - 2$

Solve for x 5(x-1)+16(2x+3)=3(2x-7)-x

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