(x+1)+(x+3)=x+13

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Solution for (x+1)+(x+3)=x+13 equation:


Simplifying
(x + 1) + (x + 3) = x + 13

Reorder the terms:
(1 + x) + (x + 3) = x + 13

Remove parenthesis around (1 + x)
1 + x + (x + 3) = x + 13

Reorder the terms:
1 + x + (3 + x) = x + 13

Remove parenthesis around (3 + x)
1 + x + 3 + x = x + 13

Reorder the terms:
1 + 3 + x + x = x + 13

Combine like terms: 1 + 3 = 4
4 + x + x = x + 13

Combine like terms: x + x = 2x
4 + 2x = x + 13

Reorder the terms:
4 + 2x = 13 + x

Solving
4 + 2x = 13 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4 + 2x + -1x = 13 + x + -1x

Combine like terms: 2x + -1x = 1x
4 + 1x = 13 + x + -1x

Combine like terms: x + -1x = 0
4 + 1x = 13 + 0
4 + 1x = 13

Add '-4' to each side of the equation.
4 + -4 + 1x = 13 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 13 + -4
1x = 13 + -4

Combine like terms: 13 + -4 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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