x+1=7x-23

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Solution for x+1=7x-23 equation:


Simplifying
x + 1 = 7x + -23

Reorder the terms:
1 + x = 7x + -23

Reorder the terms:
1 + x = -23 + 7x

Solving
1 + x = -23 + 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.
1 + x + -7x = -23 + 7x + -7x

Combine like terms: x + -7x = -6x
1 + -6x = -23 + 7x + -7x

Combine like terms: 7x + -7x = 0
1 + -6x = -23 + 0
1 + -6x = -23

Add '-1' to each side of the equation.
1 + -1 + -6x = -23 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = -23 + -1
-6x = -23 + -1

Combine like terms: -23 + -1 = -24
-6x = -24

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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