Solve 2(x+7)-3(2-x)=4(-x-1)-6

$$2 ( x + 7 ) - 3 ( 2 - x ) = 4 ( - x - 1 ) - 6$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+7.

$$2x+14-3\left(2-x\right)=4\left(-x-1\right)-6$$

Use the distributive property to multiply -3 by 2-x.

$$2x+14-6+3x=4\left(-x-1\right)-6$$

Subtract 6 from 14 to get 8.

$$2x+8+3x=4\left(-x-1\right)-6$$

Combine 2x and 3x to get 5x.

$$5x+8=4\left(-x-1\right)-6$$

Use the distributive property to multiply 4 by -x-1.

$$5x+8=4\left(-x\right)-4-6$$

Subtract 6 from -4 to get -10.

$$5x+8=4\left(-x\right)-10$$

Subtract 4\left(-x\right) from both sides.

$$5x+8-4\left(-x\right)=-10$$

Multiply -1 and 4 to get -4.

$$5x+8-4\left(-1\right)x=-10$$

Multiply -4 and -1 to get 4.

$$5x+8+4x=-10$$

Combine 5x and 4x to get 9x.

$$9x+8=-10$$

Subtract 8 from both sides.

$$9x=-10-8$$

Subtract 8 from -10 to get -18.

$$9x=-18$$

Divide both sides by 9.

$$x=\frac{-18}{9}$$

Divide -18 by 9 to get -2.

$$x=-2$$