2x-2(4-9x)=6(8x+2)

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Solution for 2x-2(4-9x)=6(8x+2) equation:


Simplifying
2x + -2(4 + -9x) = 6(8x + 2)
2x + (4 * -2 + -9x * -2) = 6(8x + 2)
2x + (-8 + 18x) = 6(8x + 2)

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

Combine like terms: 2x + 18x = 20x
-8 + 20x = 6(8x + 2)

Reorder the terms:
-8 + 20x = 6(2 + 8x)
-8 + 20x = (2 * 6 + 8x * 6)
-8 + 20x = (12 + 48x)

Solving
-8 + 20x = 12 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
-8 + 20x + -48x = 12 + 48x + -48x

Combine like terms: 20x + -48x = -28x
-8 + -28x = 12 + 48x + -48x

Combine like terms: 48x + -48x = 0
-8 + -28x = 12 + 0
-8 + -28x = 12

Add '8' to each side of the equation.
-8 + 8 + -28x = 12 + 8

Combine like terms: -8 + 8 = 0
0 + -28x = 12 + 8
-28x = 12 + 8

Combine like terms: 12 + 8 = 20
-28x = 20

Divide each side by '-28'.
x = -0.7142857143

Simplifying
x = -0.7142857143

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