Solve 7/2x+5/2=2

$$\frac { 7 } { 2 } x + \frac { 5 } { 2 } = 2$$

Solve for x

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

Steps for Solving Linear Equation

Subtract \frac{5}{2} from both sides.

$$\frac{7}{2}x=2-\frac{5}{2}$$

Convert 2 to fraction \frac{4}{2}.

$$\frac{7}{2}x=\frac{4}{2}-\frac{5}{2}$$

Since \frac{4}{2} and \frac{5}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{2}x=\frac{4-5}{2}$$

Subtract 5 from 4 to get -1.

$$\frac{7}{2}x=-\frac{1}{2}$$

Multiply both sides by \frac{2}{7}, the reciprocal of \frac{7}{2}.

$$x=-\frac{1}{2}\times \frac{2}{7}$$

Multiply -\frac{1}{2} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-2}{2\times 7}$$

Cancel out 2 in both numerator and denominator.

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

Fraction \frac{-1}{7} can be rewritten as -\frac{1}{7} by extracting the negative sign.

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