5x-9=4x+10

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


Simplifying
5x + -9 = 4x + 10

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

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

Solving
-9 + 5x = 10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-9 + 5x + -4x = 10 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-9 + 1x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + 1x = 10 + 0
-9 + 1x = 10

Add '9' to each side of the equation.
-9 + 9 + 1x = 10 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = 10 + 9
1x = 10 + 9

Combine like terms: 10 + 9 = 19
1x = 19

Divide each side by '1'.
x = 19

Simplifying
x = 19

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