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

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


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

Reorder the terms:
2x + -5(-7 + x) = 2 + -6x
2x + (-7 * -5 + x * -5) = 2 + -6x
2x + (35 + -5x) = 2 + -6x

Reorder the terms:
35 + 2x + -5x = 2 + -6x

Combine like terms: 2x + -5x = -3x
35 + -3x = 2 + -6x

Solving
35 + -3x = 2 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
35 + -3x + 6x = 2 + -6x + 6x

Combine like terms: -3x + 6x = 3x
35 + 3x = 2 + -6x + 6x

Combine like terms: -6x + 6x = 0
35 + 3x = 2 + 0
35 + 3x = 2

Add '-35' to each side of the equation.
35 + -35 + 3x = 2 + -35

Combine like terms: 35 + -35 = 0
0 + 3x = 2 + -35
3x = 2 + -35

Combine like terms: 2 + -35 = -33
3x = -33

Divide each side by '3'.
x = -11

Simplifying
x = -11

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