7x+9=8x-5

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Solution for 7x+9=8x-5 equation:


Simplifying
7x + 9 = 8x + -5

Reorder the terms:
9 + 7x = 8x + -5

Reorder the terms:
9 + 7x = -5 + 8x

Solving
9 + 7x = -5 + 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 + 7x + -8x = -5 + 8x + -8x

Combine like terms: 7x + -8x = -1x
9 + -1x = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
9 + -1x = -5 + 0
9 + -1x = -5

Add '-9' to each side of the equation.
9 + -9 + -1x = -5 + -9

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

Combine like terms: -5 + -9 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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