Solve x=1+|5(-1)/7

$$x = \frac { 1 + | 5 ( - 1 ) } { 7 }$$

Solve for x

$$x = \frac{12}{7} = 1\frac{5}{7} \approx 1.714285714$$

Steps for Solving Linear Equation

Multiply 5 and -1 to get -5.

$$x=1+\frac{|-5|}{7}$$

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.

$$x=1+\frac{5}{7}$$

Convert 1 to fraction \frac{7}{7}.

$$x=\frac{7}{7}+\frac{5}{7}$$

Since \frac{7}{7} and \frac{5}{7} have the same denominator, add them by adding their numerators.

$$x=\frac{7+5}{7}$$

Add 7 and 5 to get 12.

$$x=\frac{12}{7}$$

Assign x

$$x≔\frac{12}{7}$$