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

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


Simplifying
4x + -1(x + -5) = 9x + -13

Reorder the terms:
4x + -1(-5 + x) = 9x + -13
4x + (-5 * -1 + x * -1) = 9x + -13
4x + (5 + -1x) = 9x + -13

Reorder the terms:
5 + 4x + -1x = 9x + -13

Combine like terms: 4x + -1x = 3x
5 + 3x = 9x + -13

Reorder the terms:
5 + 3x = -13 + 9x

Solving
5 + 3x = -13 + 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.
5 + 3x + -9x = -13 + 9x + -9x

Combine like terms: 3x + -9x = -6x
5 + -6x = -13 + 9x + -9x

Combine like terms: 9x + -9x = 0
5 + -6x = -13 + 0
5 + -6x = -13

Add '-5' to each side of the equation.
5 + -5 + -6x = -13 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = -13 + -5
-6x = -13 + -5

Combine like terms: -13 + -5 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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