Rewriting 0.4(x - 2) = 3.4 -0.2x in problem 3-120 gave you at least one new, equivalent equation that was much easier to solve. Two equations are equivalent if all of their solutions are the same. There are several ways to change one equation into a different, equivalent equation. Common ways include: adding or subtracting the same number from both sides, or multiplying or dividing both sides by the same (non-zero) number.

Rewrite an equivalent equation for each equation below. Be sure your equivalent equation has no fractions or decimals. Then solve the new equation and check your answer in the original equation.

a. -7.5.2 - 4.82 0.3 = 2.5c? + 10.02 - 1022

b. 2000(23 - 24) + 5000 = 18,000