Solve 37-(3x+2(x-4))=15

$$37 - ( 3 x + 2 ( x - 4 ) ) = 15$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x-4.

$$37-\left(3x+2x-8\right)=15$$

Combine 3x and 2x to get 5x.

$$37-\left(5x-8\right)=15$$

To find the opposite of 5x-8, find the opposite of each term.

$$37-5x-\left(-8\right)=15$$

The opposite of -8 is 8.

$$37-5x+8=15$$

Add 37 and 8 to get 45.

$$45-5x=15$$

Subtract 45 from both sides.

$$-5x=15-45$$

Subtract 45 from 15 to get -30.

$$-5x=-30$$

Divide both sides by -5.

$$x=\frac{-30}{-5}$$

Divide -30 by -5 to get 6.

$$x=6$$