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

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


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

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

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

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

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

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

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

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

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

Solving
5 + 5x = 7 + 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.
5 + 5x + -3x = 7 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
5 + 2x = 7 + 0
5 + 2x = 7

Add '-5' to each side of the equation.
5 + -5 + 2x = 7 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 7 + -5
2x = 7 + -5

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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