7x+1=x-4

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Solution for 7x+1=x-4 equation:


Simplifying
7x + 1 = x + -4

Reorder the terms:
1 + 7x = x + -4

Reorder the terms:
1 + 7x = -4 + x

Solving
1 + 7x = -4 + 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 + 7x + -1x = -4 + x + -1x

Combine like terms: 7x + -1x = 6x
1 + 6x = -4 + x + -1x

Combine like terms: x + -1x = 0
1 + 6x = -4 + 0
1 + 6x = -4

Add '-1' to each side of the equation.
1 + -1 + 6x = -4 + -1

Combine like terms: 1 + -1 = 0
0 + 6x = -4 + -1
6x = -4 + -1

Combine like terms: -4 + -1 = -5
6x = -5

Divide each side by '6'.
x = -0.8333333333

Simplifying
x = -0.8333333333

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