6x-3=-9x+45

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Solution for 6x-3=-9x+45 equation:


Simplifying
6x + -3 = -9x + 45

Reorder the terms:
-3 + 6x = -9x + 45

Reorder the terms:
-3 + 6x = 45 + -9x

Solving
-3 + 6x = 45 + -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.
-3 + 6x + 9x = 45 + -9x + 9x

Combine like terms: 6x + 9x = 15x
-3 + 15x = 45 + -9x + 9x

Combine like terms: -9x + 9x = 0
-3 + 15x = 45 + 0
-3 + 15x = 45

Add '3' to each side of the equation.
-3 + 3 + 15x = 45 + 3

Combine like terms: -3 + 3 = 0
0 + 15x = 45 + 3
15x = 45 + 3

Combine like terms: 45 + 3 = 48
15x = 48

Divide each side by '15'.
x = 3.2

Simplifying
x = 3.2

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