12(x+2)-5(14-x)+x=7+2(9x-4)+3(8-x)

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Solution for 12(x+2)-5(14-x)+x=7+2(9x-4)+3(8-x) equation:


Simplifying
12(x + 2) + -5(14 + -1x) + x = 7 + 2(9x + -4) + 3(8 + -1x)

Reorder the terms:
12(2 + x) + -5(14 + -1x) + x = 7 + 2(9x + -4) + 3(8 + -1x)
(2 * 12 + x * 12) + -5(14 + -1x) + x = 7 + 2(9x + -4) + 3(8 + -1x)
(24 + 12x) + -5(14 + -1x) + x = 7 + 2(9x + -4) + 3(8 + -1x)
24 + 12x + (14 * -5 + -1x * -5) + x = 7 + 2(9x + -4) + 3(8 + -1x)
24 + 12x + (-70 + 5x) + x = 7 + 2(9x + -4) + 3(8 + -1x)

Reorder the terms:
24 + -70 + 12x + 5x + x = 7 + 2(9x + -4) + 3(8 + -1x)

Combine like terms: 24 + -70 = -46
-46 + 12x + 5x + x = 7 + 2(9x + -4) + 3(8 + -1x)

Combine like terms: 12x + 5x = 17x
-46 + 17x + x = 7 + 2(9x + -4) + 3(8 + -1x)

Combine like terms: 17x + x = 18x
-46 + 18x = 7 + 2(9x + -4) + 3(8 + -1x)

Reorder the terms:
-46 + 18x = 7 + 2(-4 + 9x) + 3(8 + -1x)
-46 + 18x = 7 + (-4 * 2 + 9x * 2) + 3(8 + -1x)
-46 + 18x = 7 + (-8 + 18x) + 3(8 + -1x)
-46 + 18x = 7 + -8 + 18x + (8 * 3 + -1x * 3)
-46 + 18x = 7 + -8 + 18x + (24 + -3x)

Reorder the terms:
-46 + 18x = 7 + -8 + 24 + 18x + -3x

Combine like terms: 7 + -8 = -1
-46 + 18x = -1 + 24 + 18x + -3x

Combine like terms: -1 + 24 = 23
-46 + 18x = 23 + 18x + -3x

Combine like terms: 18x + -3x = 15x
-46 + 18x = 23 + 15x

Solving
-46 + 18x = 23 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-46 + 18x + -15x = 23 + 15x + -15x

Combine like terms: 18x + -15x = 3x
-46 + 3x = 23 + 15x + -15x

Combine like terms: 15x + -15x = 0
-46 + 3x = 23 + 0
-46 + 3x = 23

Add '46' to each side of the equation.
-46 + 46 + 3x = 23 + 46

Combine like terms: -46 + 46 = 0
0 + 3x = 23 + 46
3x = 23 + 46

Combine like terms: 23 + 46 = 69
3x = 69

Divide each side by '3'.
x = 23

Simplifying
x = 23

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