4x-13=5x-2

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Solution for 4x-13=5x-2 equation:


Simplifying
4x + -13 = 5x + -2

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

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

Solving
-13 + 4x = -2 + 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.
-13 + 4x + -5x = -2 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-13 + -1x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-13 + -1x = -2 + 0
-13 + -1x = -2

Add '13' to each side of the equation.
-13 + 13 + -1x = -2 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = -2 + 13
-1x = -2 + 13

Combine like terms: -2 + 13 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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