32=2X-6(-2X-17)

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Solution for 32=2X-6(-2X-17) equation:


Simplifying
32 = 2X + -6(-2X + -17)

Reorder the terms:
32 = 2X + -6(-17 + -2X)
32 = 2X + (-17 * -6 + -2X * -6)
32 = 2X + (102 + 12X)

Reorder the terms:
32 = 102 + 2X + 12X

Combine like terms: 2X + 12X = 14X
32 = 102 + 14X

Solving
32 = 102 + 14X

Solving for variable 'X'.

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

Add '-14X' to each side of the equation.
32 + -14X = 102 + 14X + -14X

Combine like terms: 14X + -14X = 0
32 + -14X = 102 + 0
32 + -14X = 102

Add '-32' to each side of the equation.
32 + -32 + -14X = 102 + -32

Combine like terms: 32 + -32 = 0
0 + -14X = 102 + -32
-14X = 102 + -32

Combine like terms: 102 + -32 = 70
-14X = 70

Divide each side by '-14'.
X = -5

Simplifying
X = -5

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