Solve 3(4x-2)-1(-7x-8)=40

$$3(4x-2)-1(-7x-8)=40$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 4x-2.

$$12x-6-\left(-7x-8\right)=40$$

To find the opposite of -7x-8, find the opposite of each term.

$$12x-6-\left(-7x\right)-\left(-8\right)=40$$

The opposite of -7x is 7x.

$$12x-6+7x-\left(-8\right)=40$$

The opposite of -8 is 8.

$$12x-6+7x+8=40$$

Combine 12x and 7x to get 19x.

$$19x-6+8=40$$

Add -6 and 8 to get 2.

$$19x+2=40$$

Subtract 2 from both sides.

$$19x=40-2$$

Subtract 2 from 40 to get 38.

$$19x=38$$

Divide both sides by 19.

$$x=\frac{38}{19}$$

Divide 38 by 19 to get 2.

$$x=2$$