Solve 7x+5=x+3|-5

$$7 x + 5 = x + 3 | - 5$$

Solve for x

$$x = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Steps for Solving Linear Equation

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -5 is 5.

$$7x+5=x+3\times 5$$

Multiply 3 and 5 to get 15.

$$7x+5=x+15$$

Subtract x from both sides.

$$7x+5-x=15$$

Combine 7x and -x to get 6x.

$$6x+5=15$$

Subtract 5 from both sides.

$$6x=15-5$$

Subtract 5 from 15 to get 10.

$$6x=10$$

Divide both sides by 6.

$$x=\frac{10}{6}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$x=\frac{5}{3}$$