Solve 12(x+4)+7x-36+4(x-5)=452

$$12(x+4)+7x-36+4(x-5)=452$$

Solve for x

$$x=20$$

Steps for Solving Linear Equation

Use the distributive property to multiply 12 by x+4.

$$12x+48+7x-36+4\left(x-5\right)=452$$

Combine 12x and 7x to get 19x.

$$19x+48-36+4\left(x-5\right)=452$$

Subtract 36 from 48 to get 12.

$$19x+12+4\left(x-5\right)=452$$

Use the distributive property to multiply 4 by x-5.

$$19x+12+4x-20=452$$

Combine 19x and 4x to get 23x.

$$23x+12-20=452$$

Subtract 20 from 12 to get -8.

$$23x-8=452$$

Add 8 to both sides.

$$23x=452+8$$

Add 452 and 8 to get 460.

$$23x=460$$

Divide both sides by 23.

$$x=\frac{460}{23}$$

Divide 460 by 23 to get 20.

$$x=20$$