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

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


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

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

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

Reorder the terms:
4 + -8x = 12 + -2 + 6x

Combine like terms: 12 + -2 = 10
4 + -8x = 10 + 6x

Solving
4 + -8x = 10 + 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.
4 + -8x + -6x = 10 + 6x + -6x

Combine like terms: -8x + -6x = -14x
4 + -14x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -14x = 10 + 0
4 + -14x = 10

Add '-4' to each side of the equation.
4 + -4 + -14x = 10 + -4

Combine like terms: 4 + -4 = 0
0 + -14x = 10 + -4
-14x = 10 + -4

Combine like terms: 10 + -4 = 6
-14x = 6

Divide each side by '-14'.
x = -0.4285714286

Simplifying
x = -0.4285714286

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