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

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


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

Reorder the terms:
6(-2 + x) + -2(x + 5) = 2(4x + -2)
(-2 * 6 + x * 6) + -2(x + 5) = 2(4x + -2)
(-12 + 6x) + -2(x + 5) = 2(4x + -2)

Reorder the terms:
-12 + 6x + -2(5 + x) = 2(4x + -2)
-12 + 6x + (5 * -2 + x * -2) = 2(4x + -2)
-12 + 6x + (-10 + -2x) = 2(4x + -2)

Reorder the terms:
-12 + -10 + 6x + -2x = 2(4x + -2)

Combine like terms: -12 + -10 = -22
-22 + 6x + -2x = 2(4x + -2)

Combine like terms: 6x + -2x = 4x
-22 + 4x = 2(4x + -2)

Reorder the terms:
-22 + 4x = 2(-2 + 4x)
-22 + 4x = (-2 * 2 + 4x * 2)
-22 + 4x = (-4 + 8x)

Solving
-22 + 4x = -4 + 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.
-22 + 4x + -8x = -4 + 8x + -8x

Combine like terms: 4x + -8x = -4x
-22 + -4x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
-22 + -4x = -4 + 0
-22 + -4x = -4

Add '22' to each side of the equation.
-22 + 22 + -4x = -4 + 22

Combine like terms: -22 + 22 = 0
0 + -4x = -4 + 22
-4x = -4 + 22

Combine like terms: -4 + 22 = 18
-4x = 18

Divide each side by '-4'.
x = -4.5

Simplifying
x = -4.5

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