(x+13)+(6x-22)=(3x-1)

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Solution for (x+13)+(6x-22)=(3x-1) equation:


Simplifying
(x + 13) + (6x + -22) = (3x + -1)

Reorder the terms:
(13 + x) + (6x + -22) = (3x + -1)

Remove parenthesis around (13 + x)
13 + x + (6x + -22) = (3x + -1)

Reorder the terms:
13 + x + (-22 + 6x) = (3x + -1)

Remove parenthesis around (-22 + 6x)
13 + x + -22 + 6x = (3x + -1)

Reorder the terms:
13 + -22 + x + 6x = (3x + -1)

Combine like terms: 13 + -22 = -9
-9 + x + 6x = (3x + -1)

Combine like terms: x + 6x = 7x
-9 + 7x = (3x + -1)

Reorder the terms:
-9 + 7x = (-1 + 3x)

Remove parenthesis around (-1 + 3x)
-9 + 7x = -1 + 3x

Solving
-9 + 7x = -1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-9 + 7x + -3x = -1 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-9 + 4x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + 4x = -1 + 0
-9 + 4x = -1

Add '9' to each side of the equation.
-9 + 9 + 4x = -1 + 9

Combine like terms: -9 + 9 = 0
0 + 4x = -1 + 9
4x = -1 + 9

Combine like terms: -1 + 9 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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