-6(-4x+8)-2x=6(x-5)-8

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Solution for -6(-4x+8)-2x=6(x-5)-8 equation:


Simplifying
-6(-4x + 8) + -2x = 6(x + -5) + -8

Reorder the terms:
-6(8 + -4x) + -2x = 6(x + -5) + -8
(8 * -6 + -4x * -6) + -2x = 6(x + -5) + -8
(-48 + 24x) + -2x = 6(x + -5) + -8

Combine like terms: 24x + -2x = 22x
-48 + 22x = 6(x + -5) + -8

Reorder the terms:
-48 + 22x = 6(-5 + x) + -8
-48 + 22x = (-5 * 6 + x * 6) + -8
-48 + 22x = (-30 + 6x) + -8

Reorder the terms:
-48 + 22x = -30 + -8 + 6x

Combine like terms: -30 + -8 = -38
-48 + 22x = -38 + 6x

Solving
-48 + 22x = -38 + 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.
-48 + 22x + -6x = -38 + 6x + -6x

Combine like terms: 22x + -6x = 16x
-48 + 16x = -38 + 6x + -6x

Combine like terms: 6x + -6x = 0
-48 + 16x = -38 + 0
-48 + 16x = -38

Add '48' to each side of the equation.
-48 + 48 + 16x = -38 + 48

Combine like terms: -48 + 48 = 0
0 + 16x = -38 + 48
16x = -38 + 48

Combine like terms: -38 + 48 = 10
16x = 10

Divide each side by '16'.
x = 0.625

Simplifying
x = 0.625

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