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

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


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

Reorder the terms:
2 + -4x = 5(-8 + 2x)
2 + -4x = (-8 * 5 + 2x * 5)
2 + -4x = (-40 + 10x)

Solving
2 + -4x = -40 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
2 + -4x + -10x = -40 + 10x + -10x

Combine like terms: -4x + -10x = -14x
2 + -14x = -40 + 10x + -10x

Combine like terms: 10x + -10x = 0
2 + -14x = -40 + 0
2 + -14x = -40

Add '-2' to each side of the equation.
2 + -2 + -14x = -40 + -2

Combine like terms: 2 + -2 = 0
0 + -14x = -40 + -2
-14x = -40 + -2

Combine like terms: -40 + -2 = -42
-14x = -42

Divide each side by '-14'.
x = 3

Simplifying
x = 3

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