(0.59)(x)+(0.5)(42)=(0.52)(x+42)

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Solution for (0.59)(x)+(0.5)(42)=(0.52)(x+42) equation: 


Simplifying
(0.59)(x) + (0.5)(42) = (0.52)(x + 42)

Multiply 0.5 * 42
0.59x + 21 = (0.52)(x + 42)

Reorder the terms:
21 + 0.59x = (0.52)(x + 42)

Reorder the terms:
21 + 0.59x = 0.52(42 + x)
21 + 0.59x = (42 * 0.52 + x * 0.52)
21 + 0.59x = (21.84 + 0.52x)

Solving
21 + 0.59x = 21.84 + 0.52x

Solving for variable 'x'.

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

Add '-0.52x' to each side of the equation.
21 + 0.59x + -0.52x = 21.84 + 0.52x + -0.52x

Combine like terms: 0.59x + -0.52x = 0.07x
21 + 0.07x = 21.84 + 0.52x + -0.52x

Combine like terms: 0.52x + -0.52x = 0.00
21 + 0.07x = 21.84 + 0.00
21 + 0.07x = 21.84

Add '-21' to each side of the equation.
21 + -21 + 0.07x = 21.84 + -21

Combine like terms: 21 + -21 = 0
0 + 0.07x = 21.84 + -21
0.07x = 21.84 + -21

Combine like terms: 21.84 + -21 = 0.84
0.07x = 0.84

Divide each side by '0.07'.
x = 12

Simplifying
x = 12

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