7x+8=9x-2

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Solution for 7x+8=9x-2 equation:


Simplifying
7x + 8 = 9x + -2

Reorder the terms:
8 + 7x = 9x + -2

Reorder the terms:
8 + 7x = -2 + 9x

Solving
8 + 7x = -2 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
8 + 7x + -9x = -2 + 9x + -9x

Combine like terms: 7x + -9x = -2x
8 + -2x = -2 + 9x + -9x

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

Add '-8' to each side of the equation.
8 + -8 + -2x = -2 + -8

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

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

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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