5x+2=2(x+1)+x

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Solution for 5x+2=2(x+1)+x equation:


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

Reorder the terms:
2 + 5x = 2(x + 1) + x

Reorder the terms:
2 + 5x = 2(1 + x) + x
2 + 5x = (1 * 2 + x * 2) + x
2 + 5x = (2 + 2x) + x

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

Add '-2' to each side of the equation.
2 + -2 + 5x = 2 + -2 + 3x

Combine like terms: 2 + -2 = 0
0 + 5x = 2 + -2 + 3x
5x = 2 + -2 + 3x

Combine like terms: 2 + -2 = 0
5x = 0 + 3x
5x = 3x

Solving
5x = 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.
5x + -3x = 3x + -3x

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

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

Divide each side by '2'.
x = 0

Simplifying
x = 0

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