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

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


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

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

Reorder the terms:
12 + 3 + 2x = 3x + 4 + -2x + 4

Combine like terms: 12 + 3 = 15
15 + 2x = 3x + 4 + -2x + 4

Reorder the terms:
15 + 2x = 4 + 4 + 3x + -2x

Combine like terms: 4 + 4 = 8
15 + 2x = 8 + 3x + -2x

Combine like terms: 3x + -2x = 1x
15 + 2x = 8 + 1x

Solving
15 + 2x = 8 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
15 + 2x + -1x = 8 + 1x + -1x

Combine like terms: 2x + -1x = 1x
15 + 1x = 8 + 1x + -1x

Combine like terms: 1x + -1x = 0
15 + 1x = 8 + 0
15 + 1x = 8

Add '-15' to each side of the equation.
15 + -15 + 1x = 8 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = 8 + -15
1x = 8 + -15

Combine like terms: 8 + -15 = -7
1x = -7

Divide each side by '1'.
x = -7

Simplifying
x = -7

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