-X+7(2X-4)+13=6X+12+10X

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Solution for -X+7(2X-4)+13=6X+12+10X equation: 


Simplifying
-1X + 7(2X + -4) + 13 = 6X + 12 + 10X

Reorder the terms:
-1X + 7(-4 + 2X) + 13 = 6X + 12 + 10X
-1X + (-4 * 7 + 2X * 7) + 13 = 6X + 12 + 10X
-1X + (-28 + 14X) + 13 = 6X + 12 + 10X

Reorder the terms:
-28 + 13 + -1X + 14X = 6X + 12 + 10X

Combine like terms: -28 + 13 = -15
-15 + -1X + 14X = 6X + 12 + 10X

Combine like terms: -1X + 14X = 13X
-15 + 13X = 6X + 12 + 10X

Reorder the terms:
-15 + 13X = 12 + 6X + 10X

Combine like terms: 6X + 10X = 16X
-15 + 13X = 12 + 16X

Solving
-15 + 13X = 12 + 16X

Solving for variable 'X'.

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

Add '-16X' to each side of the equation.
-15 + 13X + -16X = 12 + 16X + -16X

Combine like terms: 13X + -16X = -3X
-15 + -3X = 12 + 16X + -16X

Combine like terms: 16X + -16X = 0
-15 + -3X = 12 + 0
-15 + -3X = 12

Add '15' to each side of the equation.
-15 + 15 + -3X = 12 + 15

Combine like terms: -15 + 15 = 0
0 + -3X = 12 + 15
-3X = 12 + 15

Combine like terms: 12 + 15 = 27
-3X = 27

Divide each side by '-3'.
X = -9

Simplifying
X = -9

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