3(2x+4)-2(-2+1)=3x+6

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Solution for 3(2x+4)-2(-2+1)=3x+6 equation:


Simplifying
3(2x + 4) + -2(-2 + 1) = 3x + 6

Reorder the terms:
3(4 + 2x) + -2(-2 + 1) = 3x + 6
(4 * 3 + 2x * 3) + -2(-2 + 1) = 3x + 6
(12 + 6x) + -2(-2 + 1) = 3x + 6

Combine like terms: -2 + 1 = -1
12 + 6x + -2(-1) = 3x + 6

Multiply -2 * -1
12 + 6x + 2 = 3x + 6

Reorder the terms:
12 + 2 + 6x = 3x + 6

Combine like terms: 12 + 2 = 14
14 + 6x = 3x + 6

Reorder the terms:
14 + 6x = 6 + 3x

Solving
14 + 6x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
14 + 6x + -3x = 6 + 3x + -3x

Combine like terms: 6x + -3x = 3x
14 + 3x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + 3x = 6 + 0
14 + 3x = 6

Add '-14' to each side of the equation.
14 + -14 + 3x = 6 + -14

Combine like terms: 14 + -14 = 0
0 + 3x = 6 + -14
3x = 6 + -14

Combine like terms: 6 + -14 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

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