-6(6-x)+4=3(x-2)

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Solution for -6(6-x)+4=3(x-2) equation:


Simplifying
-6(6 + -1x) + 4 = 3(x + -2)
(6 * -6 + -1x * -6) + 4 = 3(x + -2)
(-36 + 6x) + 4 = 3(x + -2)

Reorder the terms:
-36 + 4 + 6x = 3(x + -2)

Combine like terms: -36 + 4 = -32
-32 + 6x = 3(x + -2)

Reorder the terms:
-32 + 6x = 3(-2 + x)
-32 + 6x = (-2 * 3 + x * 3)
-32 + 6x = (-6 + 3x)

Solving
-32 + 6x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-32 + 6x + -3x = -6 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-32 + 3x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-32 + 3x = -6 + 0
-32 + 3x = -6

Add '32' to each side of the equation.
-32 + 32 + 3x = -6 + 32

Combine like terms: -32 + 32 = 0
0 + 3x = -6 + 32
3x = -6 + 32

Combine like terms: -6 + 32 = 26
3x = 26

Divide each side by '3'.
x = 8.666666667

Simplifying
x = 8.666666667

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