4x-2(x-3)=6x-30

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Solution for 4x-2(x-3)=6x-30 equation:


Simplifying
4x + -2(x + -3) = 6x + -30

Reorder the terms:
4x + -2(-3 + x) = 6x + -30
4x + (-3 * -2 + x * -2) = 6x + -30
4x + (6 + -2x) = 6x + -30

Reorder the terms:
6 + 4x + -2x = 6x + -30

Combine like terms: 4x + -2x = 2x
6 + 2x = 6x + -30

Reorder the terms:
6 + 2x = -30 + 6x

Solving
6 + 2x = -30 + 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.
6 + 2x + -6x = -30 + 6x + -6x

Combine like terms: 2x + -6x = -4x
6 + -4x = -30 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -4x = -30 + 0
6 + -4x = -30

Add '-6' to each side of the equation.
6 + -6 + -4x = -30 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -30 + -6
-4x = -30 + -6

Combine like terms: -30 + -6 = -36
-4x = -36

Divide each side by '-4'.
x = 9

Simplifying
x = 9

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