(2x-5)+7=6(x-1)-2x

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Solution for (2x-5)+7=6(x-1)-2x equation:


Simplifying
(2x + -5) + 7 = 6(x + -1) + -2x

Reorder the terms:
(-5 + 2x) + 7 = 6(x + -1) + -2x

Remove parenthesis around (-5 + 2x)
-5 + 2x + 7 = 6(x + -1) + -2x

Reorder the terms:
-5 + 7 + 2x = 6(x + -1) + -2x

Combine like terms: -5 + 7 = 2
2 + 2x = 6(x + -1) + -2x

Reorder the terms:
2 + 2x = 6(-1 + x) + -2x
2 + 2x = (-1 * 6 + x * 6) + -2x
2 + 2x = (-6 + 6x) + -2x

Combine like terms: 6x + -2x = 4x
2 + 2x = -6 + 4x

Solving
2 + 2x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + 2x + -4x = -6 + 4x + -4x

Combine like terms: 2x + -4x = -2x
2 + -2x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -2x = -6 + 0
2 + -2x = -6

Add '-2' to each side of the equation.
2 + -2 + -2x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = -6 + -2
-2x = -6 + -2

Combine like terms: -6 + -2 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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