32.7=29.3x+(1-x)42.7

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Solution for 32.7=29.3x+(1-x)42.7 equation:


Simplifying
32.7 = 29.3x + (1 + -1x) * 42.7

Reorder the terms for easier multiplication:
32.7 = 29.3x + 42.7(1 + -1x)
32.7 = 29.3x + (1 * 42.7 + -1x * 42.7)
32.7 = 29.3x + (42.7 + -42.7x)

Reorder the terms:
32.7 = 42.7 + 29.3x + -42.7x

Combine like terms: 29.3x + -42.7x = -13.4x
32.7 = 42.7 + -13.4x

Solving
32.7 = 42.7 + -13.4x

Solving for variable 'x'.

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

Add '13.4x' to each side of the equation.
32.7 + 13.4x = 42.7 + -13.4x + 13.4x

Combine like terms: -13.4x + 13.4x = 0.0
32.7 + 13.4x = 42.7 + 0.0
32.7 + 13.4x = 42.7

Add '-32.7' to each side of the equation.
32.7 + -32.7 + 13.4x = 42.7 + -32.7

Combine like terms: 32.7 + -32.7 = 0.0
0.0 + 13.4x = 42.7 + -32.7
13.4x = 42.7 + -32.7

Combine like terms: 42.7 + -32.7 = 10
13.4x = 10

Divide each side by '13.4'.
x = 0.7462686567

Simplifying
x = 0.7462686567

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