-7.8=10(x)+-11(1-x)

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Solution for -7.8=10(x)+-11(1-x) equation: 


Simplifying
-7.8 = 10(x) + -11(1 + -1x)
-7.8 = 10x + (1 * -11 + -1x * -11)
-7.8 = 10x + (-11 + 11x)

Reorder the terms:
-7.8 = -11 + 10x + 11x

Combine like terms: 10x + 11x = 21x
-7.8 = -11 + 21x

Solving
-7.8 = -11 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
-7.8 + -21x = -11 + 21x + -21x

Combine like terms: 21x + -21x = 0
-7.8 + -21x = -11 + 0
-7.8 + -21x = -11

Add '7.8' to each side of the equation.
-7.8 + 7.8 + -21x = -11 + 7.8

Combine like terms: -7.8 + 7.8 = 0.0
0.0 + -21x = -11 + 7.8
-21x = -11 + 7.8

Combine like terms: -11 + 7.8 = -3.2
-21x = -3.2

Divide each side by '-21'.
x = 0.1523809524

Simplifying
x = 0.1523809524

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