Solve 4(4-3x)-9(-3x-4)=x+3+7

$$4 ( 4 - 3 x ) - 9 ( - 3 x - 4 ) = x + 3 + 7$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 4-3x.

$$16-12x-9\left(-3x-4\right)=x+3+7$$

Use the distributive property to multiply -9 by -3x-4.

$$16-12x+27x+36=x+3+7$$

Combine -12x and 27x to get 15x.

$$16+15x+36=x+3+7$$

Add 16 and 36 to get 52.

$$52+15x=x+3+7$$

Add 3 and 7 to get 10.

$$52+15x=x+10$$

Subtract x from both sides.

$$52+15x-x=10$$

Combine 15x and -x to get 14x.

$$52+14x=10$$

Subtract 52 from both sides.

$$14x=10-52$$

Subtract 52 from 10 to get -42.

$$14x=-42$$

Divide both sides by 14.

$$x=\frac{-42}{14}$$

Divide -42 by 14 to get -3.

$$x=-3$$