(.32)(x)+(.10)(48)=(.20)(x+48)

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Solution for (.32)(x)+(.10)(48)=(.20)(x+48) equation: 


Simplifying
(0.32)(x) + (0.10)(48) = (0.20)(x + 48)

Multiply 0.10 * 48
0.32x + 4.8 = (0.20)(x + 48)

Reorder the terms:
4.8 + 0.32x = (0.20)(x + 48)

Reorder the terms:
4.8 + 0.32x = 0.20(48 + x)
4.8 + 0.32x = (48 * 0.20 + x * 0.20)
4.8 + 0.32x = (9.6 + 0.20x)

Solving
4.8 + 0.32x = 9.6 + 0.20x

Solving for variable 'x'.

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

Add '-0.20x' to each side of the equation.
4.8 + 0.32x + -0.20x = 9.6 + 0.20x + -0.20x

Combine like terms: 0.32x + -0.20x = 0.12x
4.8 + 0.12x = 9.6 + 0.20x + -0.20x

Combine like terms: 0.20x + -0.20x = 0.00
4.8 + 0.12x = 9.6 + 0.00
4.8 + 0.12x = 9.6

Add '-4.8' to each side of the equation.
4.8 + -4.8 + 0.12x = 9.6 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + 0.12x = 9.6 + -4.8
0.12x = 9.6 + -4.8

Combine like terms: 9.6 + -4.8 = 4.8
0.12x = 4.8

Divide each side by '0.12'.
x = 40

Simplifying
x = 40

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