9.57=10.5x+7.4(1-x)

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Solution for 9.57=10.5x+7.4(1-x) equation: 


Simplifying
9.57 = 10.5x + 7.4(1 + -1x)
9.57 = 10.5x + (1 * 7.4 + -1x * 7.4)
9.57 = 10.5x + (7.4 + -7.4x)

Reorder the terms:
9.57 = 7.4 + 10.5x + -7.4x

Combine like terms: 10.5x + -7.4x = 3.1x
9.57 = 7.4 + 3.1x

Solving
9.57 = 7.4 + 3.1x

Solving for variable 'x'.

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

Add '-3.1x' to each side of the equation.
9.57 + -3.1x = 7.4 + 3.1x + -3.1x

Combine like terms: 3.1x + -3.1x = 0.0
9.57 + -3.1x = 7.4 + 0.0
9.57 + -3.1x = 7.4

Add '-9.57' to each side of the equation.
9.57 + -9.57 + -3.1x = 7.4 + -9.57

Combine like terms: 9.57 + -9.57 = 0.00
0.00 + -3.1x = 7.4 + -9.57
-3.1x = 7.4 + -9.57

Combine like terms: 7.4 + -9.57 = -2.17
-3.1x = -2.17

Divide each side by '-3.1'.
x = 0.7

Simplifying
x = 0.7

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