5x-2=2(3x-4)

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Solution for 5x-2=2(3x-4) equation:


Simplifying
5x + -2 = 2(3x + -4)

Reorder the terms:
-2 + 5x = 2(3x + -4)

Reorder the terms:
-2 + 5x = 2(-4 + 3x)
-2 + 5x = (-4 * 2 + 3x * 2)
-2 + 5x = (-8 + 6x)

Solving
-2 + 5x = -8 + 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.
-2 + 5x + -6x = -8 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-2 + -1x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + -1x = -8 + 0
-2 + -1x = -8

Add '2' to each side of the equation.
-2 + 2 + -1x = -8 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -8 + 2
-1x = -8 + 2

Combine like terms: -8 + 2 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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