(2x+1)+(x+4)=x+16+x

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Solution for (2x+1)+(x+4)=x+16+x equation:


Simplifying
(2x + 1) + (x + 4) = x + 16 + x

Reorder the terms:
(1 + 2x) + (x + 4) = x + 16 + x

Remove parenthesis around (1 + 2x)
1 + 2x + (x + 4) = x + 16 + x

Reorder the terms:
1 + 2x + (4 + x) = x + 16 + x

Remove parenthesis around (4 + x)
1 + 2x + 4 + x = x + 16 + x

Reorder the terms:
1 + 4 + 2x + x = x + 16 + x

Combine like terms: 1 + 4 = 5
5 + 2x + x = x + 16 + x

Combine like terms: 2x + x = 3x
5 + 3x = x + 16 + x

Reorder the terms:
5 + 3x = 16 + x + x

Combine like terms: x + x = 2x
5 + 3x = 16 + 2x

Solving
5 + 3x = 16 + 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.
5 + 3x + -2x = 16 + 2x + -2x

Combine like terms: 3x + -2x = 1x
5 + 1x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 1x = 16 + 0
5 + 1x = 16

Add '-5' to each side of the equation.
5 + -5 + 1x = 16 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 16 + -5
1x = 16 + -5

Combine like terms: 16 + -5 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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