2(2x-1)+10=9(1-x)-5x

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Solution for 2(2x-1)+10=9(1-x)-5x equation:


Simplifying
2(2x + -1) + 10 = 9(1 + -1x) + -5x

Reorder the terms:
2(-1 + 2x) + 10 = 9(1 + -1x) + -5x
(-1 * 2 + 2x * 2) + 10 = 9(1 + -1x) + -5x
(-2 + 4x) + 10 = 9(1 + -1x) + -5x

Reorder the terms:
-2 + 10 + 4x = 9(1 + -1x) + -5x

Combine like terms: -2 + 10 = 8
8 + 4x = 9(1 + -1x) + -5x
8 + 4x = (1 * 9 + -1x * 9) + -5x
8 + 4x = (9 + -9x) + -5x

Combine like terms: -9x + -5x = -14x
8 + 4x = 9 + -14x

Solving
8 + 4x = 9 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
8 + 4x + 14x = 9 + -14x + 14x

Combine like terms: 4x + 14x = 18x
8 + 18x = 9 + -14x + 14x

Combine like terms: -14x + 14x = 0
8 + 18x = 9 + 0
8 + 18x = 9

Add '-8' to each side of the equation.
8 + -8 + 18x = 9 + -8

Combine like terms: 8 + -8 = 0
0 + 18x = 9 + -8
18x = 9 + -8

Combine like terms: 9 + -8 = 1
18x = 1

Divide each side by '18'.
x = 0.05555555556

Simplifying
x = 0.05555555556

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