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

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


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

Reorder the terms:
4(2 + 3x) + -6x = 2(3 + x) + 6
(2 * 4 + 3x * 4) + -6x = 2(3 + x) + 6
(8 + 12x) + -6x = 2(3 + x) + 6

Combine like terms: 12x + -6x = 6x
8 + 6x = 2(3 + x) + 6
8 + 6x = (3 * 2 + x * 2) + 6
8 + 6x = (6 + 2x) + 6

Reorder the terms:
8 + 6x = 6 + 6 + 2x

Combine like terms: 6 + 6 = 12
8 + 6x = 12 + 2x

Solving
8 + 6x = 12 + 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.
8 + 6x + -2x = 12 + 2x + -2x

Combine like terms: 6x + -2x = 4x
8 + 4x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 4x = 12 + 0
8 + 4x = 12

Add '-8' to each side of the equation.
8 + -8 + 4x = 12 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = 12 + -8
4x = 12 + -8

Combine like terms: 12 + -8 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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