0.72x+0.52(110-x)=0.74(110)

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Solution for 0.72x+0.52(110-x)=0.74(110) equation: 


Simplifying
0.72x + 0.52(110 + -1x) = 0.74(110)
0.72x + (110 * 0.52 + -1x * 0.52) = 0.74(110)
0.72x + (57.2 + -0.52x) = 0.74(110)

Reorder the terms:
57.2 + 0.72x + -0.52x = 0.74(110)

Combine like terms: 0.72x + -0.52x = 0.2x
57.2 + 0.2x = 0.74(110)

Multiply 0.74 * 110
57.2 + 0.2x = 81.4

Solving
57.2 + 0.2x = 81.4

Solving for variable 'x'.

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

Add '-57.2' to each side of the equation.
57.2 + -57.2 + 0.2x = 81.4 + -57.2

Combine like terms: 57.2 + -57.2 = 0.0
0.0 + 0.2x = 81.4 + -57.2
0.2x = 81.4 + -57.2

Combine like terms: 81.4 + -57.2 = 24.2
0.2x = 24.2

Divide each side by '0.2'.
x = 121

Simplifying
x = 121

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