32=4(x-1)-6(x-6)

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Solution for 32=4(x-1)-6(x-6) equation: 


Simplifying
32 = 4(x + -1) + -6(x + -6)

Reorder the terms:
32 = 4(-1 + x) + -6(x + -6)
32 = (-1 * 4 + x * 4) + -6(x + -6)
32 = (-4 + 4x) + -6(x + -6)

Reorder the terms:
32 = -4 + 4x + -6(-6 + x)
32 = -4 + 4x + (-6 * -6 + x * -6)
32 = -4 + 4x + (36 + -6x)

Reorder the terms:
32 = -4 + 36 + 4x + -6x

Combine like terms: -4 + 36 = 32
32 = 32 + 4x + -6x

Combine like terms: 4x + -6x = -2x
32 = 32 + -2x

Add '-32' to each side of the equation.
32 + -32 = 32 + -32 + -2x

Combine like terms: 32 + -32 = 0
0 = 32 + -32 + -2x

Combine like terms: 32 + -32 = 0
0 = 0 + -2x
0 = -2x

Solving
0 = -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.
0 + 2x = -2x + 2x
Remove the zero:
2x = -2x + 2x

Combine like terms: -2x + 2x = 0
2x = 0

Divide each side by '2'.
x = 0

Simplifying
x = 0

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