5x+1=x*7

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Solution for 5x+1=x*7 equation:


Simplifying
5x + 1 = x * 7

Reorder the terms:
1 + 5x = x * 7

Reorder the terms for easier multiplication:
1 + 5x = 7x

Solving
1 + 5x = 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 + 5x + -7x = 7x + -7x

Combine like terms: 5x + -7x = -2x
1 + -2x = 7x + -7x

Combine like terms: 7x + -7x = 0
1 + -2x = 0

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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