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

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


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

Reorder the terms:
-2 + 8x + 4x = 4(5x + -2) + 2

Combine like terms: 8x + 4x = 12x
-2 + 12x = 4(5x + -2) + 2

Reorder the terms:
-2 + 12x = 4(-2 + 5x) + 2
-2 + 12x = (-2 * 4 + 5x * 4) + 2
-2 + 12x = (-8 + 20x) + 2

Reorder the terms:
-2 + 12x = -8 + 2 + 20x

Combine like terms: -8 + 2 = -6
-2 + 12x = -6 + 20x

Solving
-2 + 12x = -6 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-2 + 12x + -20x = -6 + 20x + -20x

Combine like terms: 12x + -20x = -8x
-2 + -8x = -6 + 20x + -20x

Combine like terms: 20x + -20x = 0
-2 + -8x = -6 + 0
-2 + -8x = -6

Add '2' to each side of the equation.
-2 + 2 + -8x = -6 + 2

Combine like terms: -2 + 2 = 0
0 + -8x = -6 + 2
-8x = -6 + 2

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

Divide each side by '-8'.
x = 0.5

Simplifying
x = 0.5

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