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

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


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

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

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

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

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

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

Combine like terms: 2 + -9 = -7
-7 + 4x + 2x = (5x + 13)

Combine like terms: 4x + 2x = 6x
-7 + 6x = (5x + 13)

Reorder the terms:
-7 + 6x = (13 + 5x)

Remove parenthesis around (13 + 5x)
-7 + 6x = 13 + 5x

Solving
-7 + 6x = 13 + 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.
-7 + 6x + -5x = 13 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-7 + 1x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-7 + 1x = 13 + 0
-7 + 1x = 13

Add '7' to each side of the equation.
-7 + 7 + 1x = 13 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = 13 + 7
1x = 13 + 7

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

Divide each side by '1'.
x = 20

Simplifying
x = 20

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