6(x-8)+32=2(x-6)

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Solution for 6(x-8)+32=2(x-6) equation:


Simplifying
6(x + -8) + 32 = 2(x + -6)

Reorder the terms:
6(-8 + x) + 32 = 2(x + -6)
(-8 * 6 + x * 6) + 32 = 2(x + -6)
(-48 + 6x) + 32 = 2(x + -6)

Reorder the terms:
-48 + 32 + 6x = 2(x + -6)

Combine like terms: -48 + 32 = -16
-16 + 6x = 2(x + -6)

Reorder the terms:
-16 + 6x = 2(-6 + x)
-16 + 6x = (-6 * 2 + x * 2)
-16 + 6x = (-12 + 2x)

Solving
-16 + 6x = -12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-16 + 6x + -2x = -12 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-16 + 4x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-16 + 4x = -12 + 0
-16 + 4x = -12

Add '16' to each side of the equation.
-16 + 16 + 4x = -12 + 16

Combine like terms: -16 + 16 = 0
0 + 4x = -12 + 16
4x = -12 + 16

Combine like terms: -12 + 16 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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