(9x-5)+(5x-1)=13x+7

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Solution for (9x-5)+(5x-1)=13x+7 equation:


Simplifying
(9x + -5) + (5x + -1) = 13x + 7

Reorder the terms:
(-5 + 9x) + (5x + -1) = 13x + 7

Remove parenthesis around (-5 + 9x)
-5 + 9x + (5x + -1) = 13x + 7

Reorder the terms:
-5 + 9x + (-1 + 5x) = 13x + 7

Remove parenthesis around (-1 + 5x)
-5 + 9x + -1 + 5x = 13x + 7

Reorder the terms:
-5 + -1 + 9x + 5x = 13x + 7

Combine like terms: -5 + -1 = -6
-6 + 9x + 5x = 13x + 7

Combine like terms: 9x + 5x = 14x
-6 + 14x = 13x + 7

Reorder the terms:
-6 + 14x = 7 + 13x

Solving
-6 + 14x = 7 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-6 + 14x + -13x = 7 + 13x + -13x

Combine like terms: 14x + -13x = 1x
-6 + 1x = 7 + 13x + -13x

Combine like terms: 13x + -13x = 0
-6 + 1x = 7 + 0
-6 + 1x = 7

Add '6' to each side of the equation.
-6 + 6 + 1x = 7 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 7 + 6
1x = 7 + 6

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

Divide each side by '1'.
x = 13

Simplifying
x = 13

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