2(3x-6)-2=2(x-3)+24

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Solution for 2(3x-6)-2=2(x-3)+24 equation:


Simplifying
2(3x + -6) + -2 = 2(x + -3) + 24

Reorder the terms:
2(-6 + 3x) + -2 = 2(x + -3) + 24
(-6 * 2 + 3x * 2) + -2 = 2(x + -3) + 24
(-12 + 6x) + -2 = 2(x + -3) + 24

Reorder the terms:
-12 + -2 + 6x = 2(x + -3) + 24

Combine like terms: -12 + -2 = -14
-14 + 6x = 2(x + -3) + 24

Reorder the terms:
-14 + 6x = 2(-3 + x) + 24
-14 + 6x = (-3 * 2 + x * 2) + 24
-14 + 6x = (-6 + 2x) + 24

Reorder the terms:
-14 + 6x = -6 + 24 + 2x

Combine like terms: -6 + 24 = 18
-14 + 6x = 18 + 2x

Solving
-14 + 6x = 18 + 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 + 6x + -2x = 18 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-14 + 4x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
-14 + 4x = 18 + 0
-14 + 4x = 18

Add '14' to each side of the equation.
-14 + 14 + 4x = 18 + 14

Combine like terms: -14 + 14 = 0
0 + 4x = 18 + 14
4x = 18 + 14

Combine like terms: 18 + 14 = 32
4x = 32

Divide each side by '4'.
x = 8

Simplifying
x = 8

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