-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 = 8
-3x = 8

Divide each side by '-3'.
x = -2.666666667

Simplifying
x = -2.666666667

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