Solve 3(x-2)+4(x+7)=57

$$3 ( x - 2 ) + 4 ( x + 7 ) = 57$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

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

$$3x-6+4\left(x+7\right)=57$$

Use the distributive property to multiply 4 by x+7.

$$3x-6+4x+28=57$$

Combine 3x and 4x to get 7x.

$$7x-6+28=57$$

Add -6 and 28 to get 22.

$$7x+22=57$$

Subtract 22 from both sides.

$$7x=57-22$$

Subtract 22 from 57 to get 35.

$$7x=35$$

Divide both sides by 7.

$$x=\frac{35}{7}$$

Divide 35 by 7 to get 5.

$$x=5$$