Solve 1=2/3(10x-15)

$$1 = \frac { 2 } { 3 } ( 10 x - 15 )$$

Solve for x

$$x = \frac{33}{20} = 1\frac{13}{20} = 1.65$$

Steps for Solving Linear Equation

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

$$1\times \frac{3}{2}=10x-15$$

Multiply 1 and \frac{3}{2} to get \frac{3}{2}.

$$\frac{3}{2}=10x-15$$

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

$$10x-15=\frac{3}{2}$$

Add 15 to both sides.

$$10x=\frac{3}{2}+15$$

Convert 15 to fraction \frac{30}{2}.

$$10x=\frac{3}{2}+\frac{30}{2}$$

Since \frac{3}{2} and \frac{30}{2} have the same denominator, add them by adding their numerators.

$$10x=\frac{3+30}{2}$$

Add 3 and 30 to get 33.

$$10x=\frac{33}{2}$$

Divide both sides by 10.

$$x=\frac{\frac{33}{2}}{10}$$

Express \frac{\frac{33}{2}}{10} as a single fraction.

$$x=\frac{33}{2\times 10}$$

Multiply 2 and 10 to get 20.

$$x=\frac{33}{20}$$