(2x+3)-2(5x-1)=(7x-1)-2(3x+11)

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Solution for (2x+3)-2(5x-1)=(7x-1)-2(3x+11) equation:


Simplifying
(2x + 3) + -2(5x + -1) = (7x + -1) + -2(3x + 11)

Reorder the terms:
(3 + 2x) + -2(5x + -1) = (7x + -1) + -2(3x + 11)

Remove parenthesis around (3 + 2x)
3 + 2x + -2(5x + -1) = (7x + -1) + -2(3x + 11)

Reorder the terms:
3 + 2x + -2(-1 + 5x) = (7x + -1) + -2(3x + 11)
3 + 2x + (-1 * -2 + 5x * -2) = (7x + -1) + -2(3x + 11)
3 + 2x + (2 + -10x) = (7x + -1) + -2(3x + 11)

Reorder the terms:
3 + 2 + 2x + -10x = (7x + -1) + -2(3x + 11)

Combine like terms: 3 + 2 = 5
5 + 2x + -10x = (7x + -1) + -2(3x + 11)

Combine like terms: 2x + -10x = -8x
5 + -8x = (7x + -1) + -2(3x + 11)

Reorder the terms:
5 + -8x = (-1 + 7x) + -2(3x + 11)

Remove parenthesis around (-1 + 7x)
5 + -8x = -1 + 7x + -2(3x + 11)

Reorder the terms:
5 + -8x = -1 + 7x + -2(11 + 3x)
5 + -8x = -1 + 7x + (11 * -2 + 3x * -2)
5 + -8x = -1 + 7x + (-22 + -6x)

Reorder the terms:
5 + -8x = -1 + -22 + 7x + -6x

Combine like terms: -1 + -22 = -23
5 + -8x = -23 + 7x + -6x

Combine like terms: 7x + -6x = 1x
5 + -8x = -23 + 1x

Solving
5 + -8x = -23 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
5 + -8x + -1x = -23 + 1x + -1x

Combine like terms: -8x + -1x = -9x
5 + -9x = -23 + 1x + -1x

Combine like terms: 1x + -1x = 0
5 + -9x = -23 + 0
5 + -9x = -23

Add '-5' to each side of the equation.
5 + -5 + -9x = -23 + -5

Combine like terms: 5 + -5 = 0
0 + -9x = -23 + -5
-9x = -23 + -5

Combine like terms: -23 + -5 = -28
-9x = -28

Divide each side by '-9'.
x = 3.111111111

Simplifying
x = 3.111111111

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