x+7=8x-2

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


Simplifying
x + 7 = 8x + -2

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

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

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

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

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

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

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

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

Divide each side by '-7'.
x = 1.285714286

Simplifying
x = 1.285714286

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