(x-2)+4(2x-6)=6(x-4)+8(2x+1)

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Solution for (x-2)+4(2x-6)=6(x-4)+8(2x+1) equation:


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

Reorder the terms:
(-2 + x) + 4(2x + -6) = 6(x + -4) + 8(2x + 1)

Remove parenthesis around (-2 + x)
-2 + x + 4(2x + -6) = 6(x + -4) + 8(2x + 1)

Reorder the terms:
-2 + x + 4(-6 + 2x) = 6(x + -4) + 8(2x + 1)
-2 + x + (-6 * 4 + 2x * 4) = 6(x + -4) + 8(2x + 1)
-2 + x + (-24 + 8x) = 6(x + -4) + 8(2x + 1)

Reorder the terms:
-2 + -24 + x + 8x = 6(x + -4) + 8(2x + 1)

Combine like terms: -2 + -24 = -26
-26 + x + 8x = 6(x + -4) + 8(2x + 1)

Combine like terms: x + 8x = 9x
-26 + 9x = 6(x + -4) + 8(2x + 1)

Reorder the terms:
-26 + 9x = 6(-4 + x) + 8(2x + 1)
-26 + 9x = (-4 * 6 + x * 6) + 8(2x + 1)
-26 + 9x = (-24 + 6x) + 8(2x + 1)

Reorder the terms:
-26 + 9x = -24 + 6x + 8(1 + 2x)
-26 + 9x = -24 + 6x + (1 * 8 + 2x * 8)
-26 + 9x = -24 + 6x + (8 + 16x)

Reorder the terms:
-26 + 9x = -24 + 8 + 6x + 16x

Combine like terms: -24 + 8 = -16
-26 + 9x = -16 + 6x + 16x

Combine like terms: 6x + 16x = 22x
-26 + 9x = -16 + 22x

Solving
-26 + 9x = -16 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
-26 + 9x + -22x = -16 + 22x + -22x

Combine like terms: 9x + -22x = -13x
-26 + -13x = -16 + 22x + -22x

Combine like terms: 22x + -22x = 0
-26 + -13x = -16 + 0
-26 + -13x = -16

Add '26' to each side of the equation.
-26 + 26 + -13x = -16 + 26

Combine like terms: -26 + 26 = 0
0 + -13x = -16 + 26
-13x = -16 + 26

Combine like terms: -16 + 26 = 10
-13x = 10

Divide each side by '-13'.
x = -0.7692307692

Simplifying
x = -0.7692307692

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