(x+9)+(2x+13)=(4x+5)

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Solution for (x+9)+(2x+13)=(4x+5) equation:


Simplifying
(x + 9) + (2x + 13) = (4x + 5)

Reorder the terms:
(9 + x) + (2x + 13) = (4x + 5)

Remove parenthesis around (9 + x)
9 + x + (2x + 13) = (4x + 5)

Reorder the terms:
9 + x + (13 + 2x) = (4x + 5)

Remove parenthesis around (13 + 2x)
9 + x + 13 + 2x = (4x + 5)

Reorder the terms:
9 + 13 + x + 2x = (4x + 5)

Combine like terms: 9 + 13 = 22
22 + x + 2x = (4x + 5)

Combine like terms: x + 2x = 3x
22 + 3x = (4x + 5)

Reorder the terms:
22 + 3x = (5 + 4x)

Remove parenthesis around (5 + 4x)
22 + 3x = 5 + 4x

Solving
22 + 3x = 5 + 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.
22 + 3x + -4x = 5 + 4x + -4x

Combine like terms: 3x + -4x = -1x
22 + -1x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
22 + -1x = 5 + 0
22 + -1x = 5

Add '-22' to each side of the equation.
22 + -22 + -1x = 5 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 5 + -22
-1x = 5 + -22

Combine like terms: 5 + -22 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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