Question

Consider this equation. 5/8 x = 1/2 x + 2 Generate a plan to solve for the variable. Describe the steps you'll use.

Answer 1

Answer: The goal is to get x alone on one side of the equals sign. First, isolate the variable by applying the subtraction property of equality to subtract 1

2

x from both sides. Next, find a common denominator to combine like terms. Then use inverse operations to multiply both sides by the reciprocal of the fraction coefficient. The result will be x = 16. Finally, check the solution by substituting 16 for x in the original equation.

Answer 2

Explanation:

5/8x = 1/2x + 2

5/8x - 1/2x = 2

46x = 2

x=16

So you want to get x by itself so you. First you get 5/8x and 1/2 and subtract 1/2 from both sides. Then find the common demonantor for both numbers. After use inverse operations to multiply both sides by the reciprocal of the fraction coefficient. Finally check the solution by substituting 16 for x in the original equation.