2(x+3)+x+7=2(3x+9)+5(4-x)+3

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Solution for 2(x+3)+x+7=2(3x+9)+5(4-x)+3 equation: 


Simplifying
2(x + 3) + x + 7 = 2(3x + 9) + 5(4 + -1x) + 3

Reorder the terms:
2(3 + x) + x + 7 = 2(3x + 9) + 5(4 + -1x) + 3
(3 * 2 + x * 2) + x + 7 = 2(3x + 9) + 5(4 + -1x) + 3
(6 + 2x) + x + 7 = 2(3x + 9) + 5(4 + -1x) + 3

Reorder the terms:
6 + 7 + 2x + x = 2(3x + 9) + 5(4 + -1x) + 3

Combine like terms: 6 + 7 = 13
13 + 2x + x = 2(3x + 9) + 5(4 + -1x) + 3

Combine like terms: 2x + x = 3x
13 + 3x = 2(3x + 9) + 5(4 + -1x) + 3

Reorder the terms:
13 + 3x = 2(9 + 3x) + 5(4 + -1x) + 3
13 + 3x = (9 * 2 + 3x * 2) + 5(4 + -1x) + 3
13 + 3x = (18 + 6x) + 5(4 + -1x) + 3
13 + 3x = 18 + 6x + (4 * 5 + -1x * 5) + 3
13 + 3x = 18 + 6x + (20 + -5x) + 3

Reorder the terms:
13 + 3x = 18 + 20 + 3 + 6x + -5x

Combine like terms: 18 + 20 = 38
13 + 3x = 38 + 3 + 6x + -5x

Combine like terms: 38 + 3 = 41
13 + 3x = 41 + 6x + -5x

Combine like terms: 6x + -5x = 1x
13 + 3x = 41 + 1x

Solving
13 + 3x = 41 + 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.
13 + 3x + -1x = 41 + 1x + -1x

Combine like terms: 3x + -1x = 2x
13 + 2x = 41 + 1x + -1x

Combine like terms: 1x + -1x = 0
13 + 2x = 41 + 0
13 + 2x = 41

Add '-13' to each side of the equation.
13 + -13 + 2x = 41 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 41 + -13
2x = 41 + -13

Combine like terms: 41 + -13 = 28
2x = 28

Divide each side by '2'.
x = 14

Simplifying
x = 14

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