3(-2x+1)+2(6X+5)+X+1=-5(-2X+3)-2(3X-14)+X

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Solution for 3(-2x+1)+2(6X+5)+X+1=-5(-2X+3)-2(3X-14)+X equation: 


Simplifying
3(-2x + 1) + 2(6X + 5) + X + 1 = -5(-2X + 3) + -2(3X + -14) + X

Reorder the terms:
3(1 + -2x) + 2(6X + 5) + X + 1 = -5(-2X + 3) + -2(3X + -14) + X
(1 * 3 + -2x * 3) + 2(6X + 5) + X + 1 = -5(-2X + 3) + -2(3X + -14) + X
(3 + -6x) + 2(6X + 5) + X + 1 = -5(-2X + 3) + -2(3X + -14) + X

Reorder the terms:
3 + -6x + 2(5 + 6X) + X + 1 = -5(-2X + 3) + -2(3X + -14) + X
3 + -6x + (5 * 2 + 6X * 2) + X + 1 = -5(-2X + 3) + -2(3X + -14) + X
3 + -6x + (10 + 12X) + X + 1 = -5(-2X + 3) + -2(3X + -14) + X

Reorder the terms:
3 + 10 + 1 + 12X + X + -6x = -5(-2X + 3) + -2(3X + -14) + X

Combine like terms: 3 + 10 = 13
13 + 1 + 12X + X + -6x = -5(-2X + 3) + -2(3X + -14) + X

Combine like terms: 13 + 1 = 14
14 + 12X + X + -6x = -5(-2X + 3) + -2(3X + -14) + X

Combine like terms: 12X + X = 13X
14 + 13X + -6x = -5(-2X + 3) + -2(3X + -14) + X

Reorder the terms:
14 + 13X + -6x = -5(3 + -2X) + -2(3X + -14) + X
14 + 13X + -6x = (3 * -5 + -2X * -5) + -2(3X + -14) + X
14 + 13X + -6x = (-15 + 10X) + -2(3X + -14) + X

Reorder the terms:
14 + 13X + -6x = -15 + 10X + -2(-14 + 3X) + X
14 + 13X + -6x = -15 + 10X + (-14 * -2 + 3X * -2) + X
14 + 13X + -6x = -15 + 10X + (28 + -6X) + X

Reorder the terms:
14 + 13X + -6x = -15 + 28 + 10X + -6X + X

Combine like terms: -15 + 28 = 13
14 + 13X + -6x = 13 + 10X + -6X + X

Combine like terms: 10X + -6X = 4X
14 + 13X + -6x = 13 + 4X + X

Combine like terms: 4X + X = 5X
14 + 13X + -6x = 13 + 5X

Solving
14 + 13X + -6x = 13 + 5X

Solving for variable 'X'.

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

Add '-5X' to each side of the equation.
14 + 13X + -5X + -6x = 13 + 5X + -5X

Combine like terms: 13X + -5X = 8X
14 + 8X + -6x = 13 + 5X + -5X

Combine like terms: 5X + -5X = 0
14 + 8X + -6x = 13 + 0
14 + 8X + -6x = 13

Add '-14' to each side of the equation.
14 + 8X + -14 + -6x = 13 + -14

Reorder the terms:
14 + -14 + 8X + -6x = 13 + -14

Combine like terms: 14 + -14 = 0
0 + 8X + -6x = 13 + -14
8X + -6x = 13 + -14

Combine like terms: 13 + -14 = -1
8X + -6x = -1

Add '6x' to each side of the equation.
8X + -6x + 6x = -1 + 6x

Combine like terms: -6x + 6x = 0
8X + 0 = -1 + 6x
8X = -1 + 6x

Divide each side by '8'.
X = -0.125 + 0.75x

Simplifying
X = -0.125 + 0.75x

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