Answer
x = 10
Work Step by Step
0.7x + 0.4(20) = 0.5(x + 20)
Expand the right side of the equation:
0.5(x + 20) = 0.5x + 10
Rewrite the equation:
0.7x + 0.4(20) = 0.5x + 10
Simplify
0.7x + 8 = 0.5x + 10
Subtract 8 from both sides:
0.7x + 8 - 8 = 0.5x + 10 - 8
0.7x = 0.5x + 2
Simplify
0.2x = 2
Divide both sides by 2:
x = 10