-7.8=10(x)+-8(1-x)

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Solution for -7.8=10(x)+-8(1-x) equation: 


Simplifying
-7.8 = 10(x) + -8(1 + -1x)
-7.8 = 10x + (1 * -8 + -1x * -8)
-7.8 = 10x + (-8 + 8x)

Reorder the terms:
-7.8 = -8 + 10x + 8x

Combine like terms: 10x + 8x = 18x
-7.8 = -8 + 18x

Solving
-7.8 = -8 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-7.8 + -18x = -8 + 18x + -18x

Combine like terms: 18x + -18x = 0
-7.8 + -18x = -8 + 0
-7.8 + -18x = -8

Add '7.8' to each side of the equation.
-7.8 + 7.8 + -18x = -8 + 7.8

Combine like terms: -7.8 + 7.8 = 0.0
0.0 + -18x = -8 + 7.8
-18x = -8 + 7.8

Combine like terms: -8 + 7.8 = -0.2
-18x = -0.2

Divide each side by '-18'.
x = 0.01111111111

Simplifying
x = 0.01111111111

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