30.24+x=.48(48+x)

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Solution for 30.24+x=.48(48+x) equation: 


Simplifying
30.24 + x = 0.48(48 + x)
30.24 + x = (48 * 0.48 + x * 0.48)
30.24 + x = (23.04 + 0.48x)

Solving
30.24 + x = 23.04 + 0.48x

Solving for variable 'x'.

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

Add '-0.48x' to each side of the equation.
30.24 + x + -0.48x = 23.04 + 0.48x + -0.48x

Combine like terms: x + -0.48x = 0.52x
30.24 + 0.52x = 23.04 + 0.48x + -0.48x

Combine like terms: 0.48x + -0.48x = 0.00
30.24 + 0.52x = 23.04 + 0.00
30.24 + 0.52x = 23.04

Add '-30.24' to each side of the equation.
30.24 + -30.24 + 0.52x = 23.04 + -30.24

Combine like terms: 30.24 + -30.24 = 0.00
0.00 + 0.52x = 23.04 + -30.24
0.52x = 23.04 + -30.24

Combine like terms: 23.04 + -30.24 = -7.2
0.52x = -7.2

Divide each side by '0.52'.
x = -13.84615385

Simplifying
x = -13.84615385

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