14.40=15x+(1-x)(52)

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Solution for 14.40=15x+(1-x)(52) equation: 


Simplifying
14.40 = 15x + (1 + -1x)(52)

Reorder the terms for easier multiplication:
14.40 = 15x + 52(1 + -1x)
14.40 = 15x + (1 * 52 + -1x * 52)
14.40 = 15x + (52 + -52x)

Reorder the terms:
14.40 = 52 + 15x + -52x

Combine like terms: 15x + -52x = -37x
14.40 = 52 + -37x

Solving
14.40 = 52 + -37x

Solving for variable 'x'.

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

Add '37x' to each side of the equation.
14.40 + 37x = 52 + -37x + 37x

Combine like terms: -37x + 37x = 0
14.40 + 37x = 52 + 0
14.40 + 37x = 52

Add '-14.40' to each side of the equation.
14.40 + -14.40 + 37x = 52 + -14.40

Combine like terms: 14.40 + -14.40 = 0.00
0.00 + 37x = 52 + -14.40
37x = 52 + -14.40

Combine like terms: 52 + -14.40 = 37.6
37x = 37.6

Divide each side by '37'.
x = 1.016216216

Simplifying
x = 1.016216216

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