9x+3=13x-6

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Solution for 9x+3=13x-6 equation:


Simplifying
9x + 3 = 13x + -6

Reorder the terms:
3 + 9x = 13x + -6

Reorder the terms:
3 + 9x = -6 + 13x

Solving
3 + 9x = -6 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
3 + 9x + -13x = -6 + 13x + -13x

Combine like terms: 9x + -13x = -4x
3 + -4x = -6 + 13x + -13x

Combine like terms: 13x + -13x = 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 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25

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