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

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


Simplifying
-4(6 + -1x) + 6 = 8 + -6(x + 2)
(6 * -4 + -1x * -4) + 6 = 8 + -6(x + 2)
(-24 + 4x) + 6 = 8 + -6(x + 2)

Reorder the terms:
-24 + 6 + 4x = 8 + -6(x + 2)

Combine like terms: -24 + 6 = -18
-18 + 4x = 8 + -6(x + 2)

Reorder the terms:
-18 + 4x = 8 + -6(2 + x)
-18 + 4x = 8 + (2 * -6 + x * -6)
-18 + 4x = 8 + (-12 + -6x)

Combine like terms: 8 + -12 = -4
-18 + 4x = -4 + -6x

Solving
-18 + 4x = -4 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-18 + 4x + 6x = -4 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-18 + 10x = -4 + -6x + 6x

Combine like terms: -6x + 6x = 0
-18 + 10x = -4 + 0
-18 + 10x = -4

Add '18' to each side of the equation.
-18 + 18 + 10x = -4 + 18

Combine like terms: -18 + 18 = 0
0 + 10x = -4 + 18
10x = -4 + 18

Combine like terms: -4 + 18 = 14
10x = 14

Divide each side by '10'.
x = 1.4

Simplifying
x = 1.4

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