Solve 9-7(2x-3)=-2(9+x)

$$9 - 7 ( 2 x - 3 ) = - 2 ( 9 + x )$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Use the distributive property to multiply -7 by 2x-3.

$$9-14x+21=-2\left(9+x\right)$$

Add 9 and 21 to get 30.

$$30-14x=-2\left(9+x\right)$$

Use the distributive property to multiply -2 by 9+x.

$$30-14x=-18-2x$$

Add 2x to both sides.

$$30-14x+2x=-18$$

Combine -14x and 2x to get -12x.

$$30-12x=-18$$

Subtract 30 from both sides.

$$-12x=-18-30$$

Subtract 30 from -18 to get -48.

$$-12x=-48$$

Divide both sides by -12.

$$x=\frac{-48}{-12}$$

Divide -48 by -12 to get 4.

$$x=4$$