4x-2-7x=2(3x-7)-11x

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Solution for 4x-2-7x=2(3x-7)-11x equation:


Simplifying
4x + -2 + -7x = 2(3x + -7) + -11x

Reorder the terms:
-2 + 4x + -7x = 2(3x + -7) + -11x

Combine like terms: 4x + -7x = -3x
-2 + -3x = 2(3x + -7) + -11x

Reorder the terms:
-2 + -3x = 2(-7 + 3x) + -11x
-2 + -3x = (-7 * 2 + 3x * 2) + -11x
-2 + -3x = (-14 + 6x) + -11x

Combine like terms: 6x + -11x = -5x
-2 + -3x = -14 + -5x

Solving
-2 + -3x = -14 + -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.
-2 + -3x + 5x = -14 + -5x + 5x

Combine like terms: -3x + 5x = 2x
-2 + 2x = -14 + -5x + 5x

Combine like terms: -5x + 5x = 0
-2 + 2x = -14 + 0
-2 + 2x = -14

Add '2' to each side of the equation.
-2 + 2 + 2x = -14 + 2

Combine like terms: -2 + 2 = 0
0 + 2x = -14 + 2
2x = -14 + 2

Combine like terms: -14 + 2 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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