2(2x-5)-(5x-2)=3x

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Solution for 2(2x-5)-(5x-2)=3x equation:


Simplifying
2(2x + -5) + -1(5x + -2) = 3x

Reorder the terms:
2(-5 + 2x) + -1(5x + -2) = 3x
(-5 * 2 + 2x * 2) + -1(5x + -2) = 3x
(-10 + 4x) + -1(5x + -2) = 3x

Reorder the terms:
-10 + 4x + -1(-2 + 5x) = 3x
-10 + 4x + (-2 * -1 + 5x * -1) = 3x
-10 + 4x + (2 + -5x) = 3x

Reorder the terms:
-10 + 2 + 4x + -5x = 3x

Combine like terms: -10 + 2 = -8
-8 + 4x + -5x = 3x

Combine like terms: 4x + -5x = -1x
-8 + -1x = 3x

Solving
-8 + -1x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8 + -1x + -3x = 3x + -3x

Combine like terms: -1x + -3x = -4x
-8 + -4x = 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + -4x = 0

Add '8' to each side of the equation.
-8 + 8 + -4x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -4x = 0 + 8
-4x = 0 + 8

Combine like terms: 0 + 8 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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