7x+17=8x+9

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Solution for 7x+17=8x+9 equation:


Simplifying
7x + 17 = 8x + 9

Reorder the terms:
17 + 7x = 8x + 9

Reorder the terms:
17 + 7x = 9 + 8x

Solving
17 + 7x = 9 + 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.
17 + 7x + -8x = 9 + 8x + -8x

Combine like terms: 7x + -8x = -1x
17 + -1x = 9 + 8x + -8x

Combine like terms: 8x + -8x = 0
17 + -1x = 9 + 0
17 + -1x = 9

Add '-17' to each side of the equation.
17 + -17 + -1x = 9 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 9 + -17
-1x = 9 + -17

Combine like terms: 9 + -17 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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