5x+2=2(x-5)

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


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

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

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

Solving
2 + 5x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
2 + 5x + -2x = -10 + 2x + -2x

Combine like terms: 5x + -2x = 3x
2 + 3x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + 3x = -10 + 0
2 + 3x = -10

Add '-2' to each side of the equation.
2 + -2 + 3x = -10 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = -10 + -2
3x = -10 + -2

Combine like terms: -10 + -2 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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