-6(6-x)+4=10-8(x+2)

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Solution for -6(6-x)+4=10-8(x+2) equation:


Simplifying
-6(6 + -1x) + 4 = 10 + -8(x + 2)
(6 * -6 + -1x * -6) + 4 = 10 + -8(x + 2)
(-36 + 6x) + 4 = 10 + -8(x + 2)

Reorder the terms:
-36 + 4 + 6x = 10 + -8(x + 2)

Combine like terms: -36 + 4 = -32
-32 + 6x = 10 + -8(x + 2)

Reorder the terms:
-32 + 6x = 10 + -8(2 + x)
-32 + 6x = 10 + (2 * -8 + x * -8)
-32 + 6x = 10 + (-16 + -8x)

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

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

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

Combine like terms: -8x + 8x = 0
-32 + 14x = -6 + 0
-32 + 14x = -6

Add '32' to each side of the equation.
-32 + 32 + 14x = -6 + 32

Combine like terms: -32 + 32 = 0
0 + 14x = -6 + 32
14x = -6 + 32

Combine like terms: -6 + 32 = 26
14x = 26

Divide each side by '14'.
x = 1.857142857

Simplifying
x = 1.857142857

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