Solve 5=2/3(8x-6)

$$5 = \frac { 2 } { 3 } ( 8 x - 6 )$$

Solve for x

$$x = \frac{27}{16} = 1\frac{11}{16} = 1.6875$$

Steps for Solving Linear Equation

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

$$5\times \frac{3}{2}=8x-6$$

Express 5\times \frac{3}{2} as a single fraction.

$$\frac{5\times 3}{2}=8x-6$$

Multiply 5 and 3 to get 15.

$$\frac{15}{2}=8x-6$$

Swap sides so that all variable terms are on the left hand side.

$$8x-6=\frac{15}{2}$$

Add 6 to both sides.

$$8x=\frac{15}{2}+6$$

Convert 6 to fraction \frac{12}{2}.

$$8x=\frac{15}{2}+\frac{12}{2}$$

Since \frac{15}{2} and \frac{12}{2} have the same denominator, add them by adding their numerators.

$$8x=\frac{15+12}{2}$$

Add 15 and 12 to get 27.

$$8x=\frac{27}{2}$$

Divide both sides by 8.

$$x=\frac{\frac{27}{2}}{8}$$

Express \frac{\frac{27}{2}}{8} as a single fraction.

$$x=\frac{27}{2\times 8}$$

Multiply 2 and 8 to get 16.

$$x=\frac{27}{16}$$