8x+1=x-7

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Solution for 8x+1=x-7 equation:


Simplifying
8x + 1 = x + -7

Reorder the terms:
1 + 8x = x + -7

Reorder the terms:
1 + 8x = -7 + x

Solving
1 + 8x = -7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
1 + 8x + -1x = -7 + x + -1x

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

Combine like terms: x + -1x = 0
1 + 7x = -7 + 0
1 + 7x = -7

Add '-1' to each side of the equation.
1 + -1 + 7x = -7 + -1

Combine like terms: 1 + -1 = 0
0 + 7x = -7 + -1
7x = -7 + -1

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

Divide each side by '7'.
x = -1.142857143

Simplifying
x = -1.142857143

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