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 = -1x
9 + -1x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 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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