2(x-5)-5(x-2)=x

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


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

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

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

Reorder the terms:
-10 + 10 + 2x + -5x = x

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

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

Solving
-3x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3x + -1x = x + -1x

Combine like terms: -3x + -1x = -4x
-4x = x + -1x

Combine like terms: x + -1x = 0
-4x = 0

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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