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

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


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

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

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

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

Combine like terms: 4x + -2x = 2x
-10 + 4x = 2x

Solving
-10 + 4x = 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.
-10 + 4x + -2x = 2x + -2x

Combine like terms: 4x + -2x = 2x
-10 + 2x = 2x + -2x

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

Add '10' to each side of the equation.
-10 + 10 + 2x = 0 + 10

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

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

Divide each side by '2'.
x = 5

Simplifying
x = 5

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