Solve 5(8+2x)=3(8x+14)

$$5(8+2x)=3(8x+14)$$

Solve for x

$$x=-\frac{1}{7}\approx -0.142857143$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 8+2x.

$$40+10x=3\left(8x+14\right)$$

Use the distributive property to multiply 3 by 8x+14.

$$40+10x=24x+42$$

Subtract 24x from both sides.

$$40+10x-24x=42$$

Combine 10x and -24x to get -14x.

$$40-14x=42$$

Subtract 40 from both sides.

$$-14x=42-40$$

Subtract 40 from 42 to get 2.

$$-14x=2$$

Divide both sides by -14.

$$x=\frac{2}{-14}$$

Reduce the fraction \frac{2}{-14} to lowest terms by extracting and canceling out 2.

$$x=-\frac{1}{7}$$