3x-7=8x-2

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Solution for 3x-7=8x-2 equation:


Simplifying
3x + -7 = 8x + -2

Reorder the terms:
-7 + 3x = 8x + -2

Reorder the terms:
-7 + 3x = -2 + 8x

Solving
-7 + 3x = -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.
-7 + 3x + -8x = -2 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-7 + -5x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
-7 + -5x = -2 + 0
-7 + -5x = -2

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

Combine like terms: -7 + 7 = 0
0 + -5x = -2 + 7
-5x = -2 + 7

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

Divide each side by '-5'.
x = -1

Simplifying
x = -1

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