5x+13=3x+(x+20)

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Solution for 5x+13=3x+(x+20) equation:


Simplifying
5x + 13 = 3x + (x + 20)

Reorder the terms:
13 + 5x = 3x + (x + 20)

Reorder the terms:
13 + 5x = 3x + (20 + x)

Remove parenthesis around (20 + x)
13 + 5x = 3x + 20 + x

Reorder the terms:
13 + 5x = 20 + 3x + x

Combine like terms: 3x + x = 4x
13 + 5x = 20 + 4x

Solving
13 + 5x = 20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
13 + 5x + -4x = 20 + 4x + -4x

Combine like terms: 5x + -4x = 1x
13 + 1x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
13 + 1x = 20 + 0
13 + 1x = 20

Add '-13' to each side of the equation.
13 + -13 + 1x = 20 + -13

Combine like terms: 13 + -13 = 0
0 + 1x = 20 + -13
1x = 20 + -13

Combine like terms: 20 + -13 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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