7x-5=8x-2

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Solution for 7x-5=8x-2 equation:


Simplifying
7x + -5 = 8x + -2

Reorder the terms:
-5 + 7x = 8x + -2

Reorder the terms:
-5 + 7x = -2 + 8x

Solving
-5 + 7x = -2 + 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.
-5 + 7x + -8x = -2 + 8x + -8x

Combine like terms: 7x + -8x = -1x
-5 + -1x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
-5 + -1x = -2 + 0
-5 + -1x = -2

Add '5' to each side of the equation.
-5 + 5 + -1x = -2 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -2 + 5
-1x = -2 + 5

Combine like terms: -2 + 5 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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