8x-5=7x+2

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


Simplifying
8x + -5 = 7x + 2

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

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

Solving
-5 + 8x = 2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-5 + 8x + -7x = 2 + 7x + -7x

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

Combine like terms: 7x + -7x = 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 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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