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

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


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

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

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

Combine like terms: 12 + -2 = 10
10 + 3x = 2(x + 6)

Reorder the terms:
10 + 3x = 2(6 + x)
10 + 3x = (6 * 2 + x * 2)
10 + 3x = (12 + 2x)

Solving
10 + 3x = 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.
10 + 3x + -2x = 12 + 2x + -2x

Combine like terms: 3x + -2x = 1x
10 + 1x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 1x = 12 + 0
10 + 1x = 12

Add '-10' to each side of the equation.
10 + -10 + 1x = 12 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 12 + -10
1x = 12 + -10

Combine like terms: 12 + -10 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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