-6(6-x)+4=6-8(x+2)

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Solution for -6(6-x)+4=6-8(x+2) equation:


Simplifying
-6(6 + -1x) + 4 = 6 + -8(x + 2)
(6 * -6 + -1x * -6) + 4 = 6 + -8(x + 2)
(-36 + 6x) + 4 = 6 + -8(x + 2)

Reorder the terms:
-36 + 4 + 6x = 6 + -8(x + 2)

Combine like terms: -36 + 4 = -32
-32 + 6x = 6 + -8(x + 2)

Reorder the terms:
-32 + 6x = 6 + -8(2 + x)
-32 + 6x = 6 + (2 * -8 + x * -8)
-32 + 6x = 6 + (-16 + -8x)

Combine like terms: 6 + -16 = -10
-32 + 6x = -10 + -8x

Solving
-32 + 6x = -10 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-32 + 6x + 8x = -10 + -8x + 8x

Combine like terms: 6x + 8x = 14x
-32 + 14x = -10 + -8x + 8x

Combine like terms: -8x + 8x = 0
-32 + 14x = -10 + 0
-32 + 14x = -10

Add '32' to each side of the equation.
-32 + 32 + 14x = -10 + 32

Combine like terms: -32 + 32 = 0
0 + 14x = -10 + 32
14x = -10 + 32

Combine like terms: -10 + 32 = 22
14x = 22

Divide each side by '14'.
x = 1.571428571

Simplifying
x = 1.571428571

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