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

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


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

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

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

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

Reorder the terms:
8 + 4x = 9 + -5 + 9x

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

Solving
8 + 4x = 4 + 9x

Solving for variable 'x'.

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

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

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

Combine like terms: 9x + -9x = 0
8 + -5x = 4 + 0
8 + -5x = 4

Add '-8' to each side of the equation.
8 + -8 + -5x = 4 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 4 + -8
-5x = 4 + -8

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

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8

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