33.48x+24.35(52)=27.76(52-x)

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Solution for 33.48x+24.35(52)=27.76(52-x) equation: 


Simplifying
33.48x + 24.35(52) = 27.76(52 + -1x)

Multiply 24.35 * 52
33.48x + 1266.2 = 27.76(52 + -1x)

Reorder the terms:
1266.2 + 33.48x = 27.76(52 + -1x)
1266.2 + 33.48x = (52 * 27.76 + -1x * 27.76)
1266.2 + 33.48x = (1443.52 + -27.76x)

Solving
1266.2 + 33.48x = 1443.52 + -27.76x

Solving for variable 'x'.

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

Add '27.76x' to each side of the equation.
1266.2 + 33.48x + 27.76x = 1443.52 + -27.76x + 27.76x

Combine like terms: 33.48x + 27.76x = 61.24x
1266.2 + 61.24x = 1443.52 + -27.76x + 27.76x

Combine like terms: -27.76x + 27.76x = 0.00
1266.2 + 61.24x = 1443.52 + 0.00
1266.2 + 61.24x = 1443.52

Add '-1266.2' to each side of the equation.
1266.2 + -1266.2 + 61.24x = 1443.52 + -1266.2

Combine like terms: 1266.2 + -1266.2 = 0.0
0.0 + 61.24x = 1443.52 + -1266.2
61.24x = 1443.52 + -1266.2

Combine like terms: 1443.52 + -1266.2 = 177.32
61.24x = 177.32

Divide each side by '61.24'.
x = 2.895493142

Simplifying
x = 2.895493142

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