10x+9=8x+16

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Solution for 10x+9=8x+16 equation:


Simplifying
10x + 9 = 8x + 16

Reorder the terms:
9 + 10x = 8x + 16

Reorder the terms:
9 + 10x = 16 + 8x

Solving
9 + 10x = 16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
9 + 10x + -8x = 16 + 8x + -8x

Combine like terms: 10x + -8x = 2x
9 + 2x = 16 + 8x + -8x

Combine like terms: 8x + -8x = 0
9 + 2x = 16 + 0
9 + 2x = 16

Add '-9' to each side of the equation.
9 + -9 + 2x = 16 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 16 + -9
2x = 16 + -9

Combine like terms: 16 + -9 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

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