Solve -12(x-12)=-9(1+7x)

$$- 12 ( x - 12 ) = - 9 ( 1 + 7 x )$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

Use the distributive property to multiply -12 by x-12.

$$-12x+144=-9\left(1+7x\right)$$

Use the distributive property to multiply -9 by 1+7x.

$$-12x+144=-9-63x$$

Add 63x to both sides.

$$-12x+144+63x=-9$$

Combine -12x and 63x to get 51x.

$$51x+144=-9$$

Subtract 144 from both sides.

$$51x=-9-144$$

Subtract 144 from -9 to get -153.

$$51x=-153$$

Divide both sides by 51.

$$x=\frac{-153}{51}$$

Divide -153 by 51 to get -3.

$$x=-3$$