x+1=8x-20

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Solution for x+1=8x-20 equation:


Simplifying
x + 1 = 8x + -20

Reorder the terms:
1 + x = 8x + -20

Reorder the terms:
1 + x = -20 + 8x

Solving
1 + x = -20 + 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.
1 + x + -8x = -20 + 8x + -8x

Combine like terms: x + -8x = -7x
1 + -7x = -20 + 8x + -8x

Combine like terms: 8x + -8x = 0
1 + -7x = -20 + 0
1 + -7x = -20

Add '-1' to each side of the equation.
1 + -1 + -7x = -20 + -1

Combine like terms: 1 + -1 = 0
0 + -7x = -20 + -1
-7x = -20 + -1

Combine like terms: -20 + -1 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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