Solve 38x+40+120x=34x-7(20-19x)

$$38 x + 40 + 120 x = 34 x - 7 ( 20 - 19 x )$$

Solve for x

$$x=20$$

Steps for Solving Linear Equation

Combine 38x and 120x to get 158x.

$$158x+40=34x-7\left(20-19x\right)$$

Use the distributive property to multiply -7 by 20-19x.

$$158x+40=34x-140+133x$$

Combine 34x and 133x to get 167x.

$$158x+40=167x-140$$

Subtract 167x from both sides.

$$158x+40-167x=-140$$

Combine 158x and -167x to get -9x.

$$-9x+40=-140$$

Subtract 40 from both sides.

$$-9x=-140-40$$

Subtract 40 from -140 to get -180.

$$-9x=-180$$

Divide both sides by -9.

$$x=\frac{-180}{-9}$$

Divide -180 by -9 to get 20.

$$x=20$$