Solve 3(2-2a)=10

$$3 ( 2 - 2 a ) = 10$$

Solve for a

$$a=-\frac{2}{3}\approx -0.666666667$$

Steps for Solving Linear Equation

Divide both sides by 3.

$$2-2a=\frac{10}{3}$$

Subtract 2 from both sides.

$$-2a=\frac{10}{3}-2$$

Convert 2 to fraction \frac{6}{3}.

$$-2a=\frac{10}{3}-\frac{6}{3}$$

Since \frac{10}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.

$$-2a=\frac{10-6}{3}$$

Subtract 6 from 10 to get 4.

$$-2a=\frac{4}{3}$$

Divide both sides by -2.

$$a=\frac{\frac{4}{3}}{-2}$$

Express \frac{\frac{4}{3}}{-2} as a single fraction.

$$a=\frac{4}{3\left(-2\right)}$$

Multiply 3 and -2 to get -6.

$$a=\frac{4}{-6}$$

Reduce the fraction \frac{4}{-6} to lowest terms by extracting and canceling out 2.

$$a=-\frac{2}{3}$$