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

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Solution for x+(x+3)+2(x+1)=5(x+2) equation:


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

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

Remove parenthesis around (3 + x)
x + 3 + x + 2(x + 1) = 5(x + 2)

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

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

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

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

Combine like terms: 2x + 2x = 4x
5 + 4x = 5(x + 2)

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

Solving
5 + 4x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
5 + 4x + -5x = 10 + 5x + -5x

Combine like terms: 4x + -5x = -1x
5 + -1x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
5 + -1x = 10 + 0
5 + -1x = 10

Add '-5' to each side of the equation.
5 + -5 + -1x = 10 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 10 + -5
-1x = 10 + -5

Combine like terms: 10 + -5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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