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

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


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

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

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

Solving
2 + 5x = -8 + 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 + 5x + -10x = -8 + 10x + -10x

Combine like terms: 5x + -10x = -5x
2 + -5x = -8 + 10x + -10x

Combine like terms: 10x + -10x = 0
2 + -5x = -8 + 0
2 + -5x = -8

Add '-2' to each side of the equation.
2 + -2 + -5x = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = -8 + -2
-5x = -8 + -2

Combine like terms: -8 + -2 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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