52-x=.47(15-x)

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Solution for 52-x=.47(15-x) equation:


Simplifying
52 + -1x = 0.47(15 + -1x)
52 + -1x = (15 * 0.47 + -1x * 0.47)
52 + -1x = (7.05 + -0.47x)

Solving
52 + -1x = 7.05 + -0.47x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.47x' to each side of the equation.
52 + -1x + 0.47x = 7.05 + -0.47x + 0.47x

Combine like terms: -1x + 0.47x = -0.53x
52 + -0.53x = 7.05 + -0.47x + 0.47x

Combine like terms: -0.47x + 0.47x = 0.00
52 + -0.53x = 7.05 + 0.00
52 + -0.53x = 7.05

Add '-52' to each side of the equation.
52 + -52 + -0.53x = 7.05 + -52

Combine like terms: 52 + -52 = 0
0 + -0.53x = 7.05 + -52
-0.53x = 7.05 + -52

Combine like terms: 7.05 + -52 = -44.95
-0.53x = -44.95

Divide each side by '-0.53'.
x = 84.81132075

Simplifying
x = 84.81132075

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