Solve 2/3x-8=1/2-1

$$\frac { 2 } { 3 } x - 8 = \frac { 1 } { 2 } - 1$$

Solve for x

$$x = \frac{45}{4} = 11\frac{1}{4} = 11.25$$

Steps for Solving Linear Equation

Convert 1 to fraction \frac{2}{2}.

$$\frac{2}{3}x-8=\frac{1}{2}-\frac{2}{2}$$

Since \frac{1}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2}{3}x-8=\frac{1-2}{2}$$

Subtract 2 from 1 to get -1.

$$\frac{2}{3}x-8=-\frac{1}{2}$$

Add 8 to both sides.

$$\frac{2}{3}x=-\frac{1}{2}+8$$

Convert 8 to fraction \frac{16}{2}.

$$\frac{2}{3}x=-\frac{1}{2}+\frac{16}{2}$$

Since -\frac{1}{2} and \frac{16}{2} have the same denominator, add them by adding their numerators.

$$\frac{2}{3}x=\frac{-1+16}{2}$$

Add -1 and 16 to get 15.

$$\frac{2}{3}x=\frac{15}{2}$$

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

$$x=\frac{15}{2}\times \frac{3}{2}$$

Multiply \frac{15}{2} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{15\times 3}{2\times 2}$$

Do the multiplications in the fraction \frac{15\times 3}{2\times 2}.

$$x=\frac{45}{4}$$