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

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


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

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

Remove parenthesis around (2 + x)
2x + 2 + x = 5 + 2(x + 1)

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

Combine like terms: 2x + x = 3x
2 + 3x = 5 + 2(x + 1)

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

Combine like terms: 5 + 2 = 7
2 + 3x = 7 + 2x

Solving
2 + 3x = 7 + 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 + 3x + -2x = 7 + 2x + -2x

Combine like terms: 3x + -2x = 1x
2 + 1x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + 1x = 7 + 0
2 + 1x = 7

Add '-2' to each side of the equation.
2 + -2 + 1x = 7 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 7 + -2
1x = 7 + -2

Combine like terms: 7 + -2 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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