4x+16=5x+9

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Solution for 4x+16=5x+9 equation:


Simplifying
4x + 16 = 5x + 9

Reorder the terms:
16 + 4x = 5x + 9

Reorder the terms:
16 + 4x = 9 + 5x

Solving
16 + 4x = 9 + 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.
16 + 4x + -5x = 9 + 5x + -5x

Combine like terms: 4x + -5x = -1x
16 + -1x = 9 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -1x = 9 + 0
16 + -1x = 9

Add '-16' to each side of the equation.
16 + -16 + -1x = 9 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 9 + -16
-1x = 9 + -16

Combine like terms: 9 + -16 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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