5x-2=6x+3

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Solution for 5x-2=6x+3 equation:


Simplifying
5x + -2 = 6x + 3

Reorder the terms:
-2 + 5x = 6x + 3

Reorder the terms:
-2 + 5x = 3 + 6x

Solving
-2 + 5x = 3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-2 + 5x + -6x = 3 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-2 + -1x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + -1x = 3 + 0
-2 + -1x = 3

Add '2' to each side of the equation.
-2 + 2 + -1x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 3 + 2
-1x = 3 + 2

Combine like terms: 3 + 2 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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