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

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


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

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

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

Reorder the terms:
-13 + 6x = -7 + 9x

Solving
-13 + 6x = -7 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-13 + 6x + -9x = -7 + 9x + -9x

Combine like terms: 6x + -9x = -3x
-13 + -3x = -7 + 9x + -9x

Combine like terms: 9x + -9x = 0
-13 + -3x = -7 + 0
-13 + -3x = -7

Add '13' to each side of the equation.
-13 + 13 + -3x = -7 + 13

Combine like terms: -13 + 13 = 0
0 + -3x = -7 + 13
-3x = -7 + 13

Combine like terms: -7 + 13 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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