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

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


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

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

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

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

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

Reorder the terms:
8 + 2x = 7(-1 + x) + -2x
8 + 2x = (-1 * 7 + x * 7) + -2x
8 + 2x = (-7 + 7x) + -2x

Combine like terms: 7x + -2x = 5x
8 + 2x = -7 + 5x

Solving
8 + 2x = -7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
8 + 2x + -5x = -7 + 5x + -5x

Combine like terms: 2x + -5x = -3x
8 + -3x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -3x = -7 + 0
8 + -3x = -7

Add '-8' to each side of the equation.
8 + -8 + -3x = -7 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -7 + -8
-3x = -7 + -8

Combine like terms: -7 + -8 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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