4x-9=-5x+15

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Solution for 4x-9=-5x+15 equation:


Simplifying
4x + -9 = -5x + 15

Reorder the terms:
-9 + 4x = -5x + 15

Reorder the terms:
-9 + 4x = 15 + -5x

Solving
-9 + 4x = 15 + -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.
-9 + 4x + 5x = 15 + -5x + 5x

Combine like terms: 4x + 5x = 9x
-9 + 9x = 15 + -5x + 5x

Combine like terms: -5x + 5x = 0
-9 + 9x = 15 + 0
-9 + 9x = 15

Add '9' to each side of the equation.
-9 + 9 + 9x = 15 + 9

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

Combine like terms: 15 + 9 = 24
9x = 24

Divide each side by '9'.
x = 2.666666667

Simplifying
x = 2.666666667

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