5x-3=x-6

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


Simplifying
5x + -3 = x + -6

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

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

Solving
-3 + 5x = -6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3 + 5x + -1x = -6 + x + -1x

Combine like terms: 5x + -1x = 4x
-3 + 4x = -6 + x + -1x

Combine like terms: x + -1x = 0
-3 + 4x = -6 + 0
-3 + 4x = -6

Add '3' to each side of the equation.
-3 + 3 + 4x = -6 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = -6 + 3
4x = -6 + 3

Combine like terms: -6 + 3 = -3
4x = -3

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75

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