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

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


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

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

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

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

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

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

Combine like terms: 3 + 1 = 4
4 + x + x + 2x = 5x + 2

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

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

Reorder the terms:
4 + 4x = 2 + 5x

Solving
4 + 4x = 2 + 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.
4 + 4x + -5x = 2 + 5x + -5x

Combine like terms: 4x + -5x = -1x
4 + -1x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -1x = 2 + 0
4 + -1x = 2

Add '-4' to each side of the equation.
4 + -4 + -1x = 2 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 2 + -4
-1x = 2 + -4

Combine like terms: 2 + -4 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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