4x-9=-5x+10

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Solution for 4x-9=-5x+10 equation:


Simplifying
4x + -9 = -5x + 10

Reorder the terms:
-9 + 4x = -5x + 10

Reorder the terms:
-9 + 4x = 10 + -5x

Solving
-9 + 4x = 10 + -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 = 10 + -5x + 5x

Combine like terms: 4x + 5x = 9x
-9 + 9x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
-9 + 9x = 10 + 0
-9 + 9x = 10

Add '9' to each side of the equation.
-9 + 9 + 9x = 10 + 9

Combine like terms: -9 + 9 = 0
0 + 9x = 10 + 9
9x = 10 + 9

Combine like terms: 10 + 9 = 19
9x = 19

Divide each side by '9'.
x = 2.111111111

Simplifying
x = 2.111111111

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