Solve 6-2(x-1)=-7(x+1)

$$6 - 2 ( x - 1 ) = - 7 ( x + 1 )$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by x-1.

$$6-2x+2=-7\left(x+1\right)$$

Add 6 and 2 to get 8.

$$8-2x=-7\left(x+1\right)$$

Use the distributive property to multiply -7 by x+1.

$$8-2x=-7x-7$$

Add 7x to both sides.

$$8-2x+7x=-7$$

Combine -2x and 7x to get 5x.

$$8+5x=-7$$

Subtract 8 from both sides.

$$5x=-7-8$$

Subtract 8 from -7 to get -15.

$$5x=-15$$

Divide both sides by 5.

$$x=\frac{-15}{5}$$

Divide -15 by 5 to get -3.

$$x=-3$$