4x-2(3x-7)=2x-6

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Solution for 4x-2(3x-7)=2x-6 equation:


Simplifying
4x + -2(3x + -7) = 2x + -6

Reorder the terms:
4x + -2(-7 + 3x) = 2x + -6
4x + (-7 * -2 + 3x * -2) = 2x + -6
4x + (14 + -6x) = 2x + -6

Reorder the terms:
14 + 4x + -6x = 2x + -6

Combine like terms: 4x + -6x = -2x
14 + -2x = 2x + -6

Reorder the terms:
14 + -2x = -6 + 2x

Solving
14 + -2x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
14 + -2x + -2x = -6 + 2x + -2x

Combine like terms: -2x + -2x = -4x
14 + -4x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
14 + -4x = -6 + 0
14 + -4x = -6

Add '-14' to each side of the equation.
14 + -14 + -4x = -6 + -14

Combine like terms: 14 + -14 = 0
0 + -4x = -6 + -14
-4x = -6 + -14

Combine like terms: -6 + -14 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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