7x+1=1(x+1)+5x

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Solution for 7x+1=1(x+1)+5x equation:


Simplifying
7x + 1 = 1(x + 1) + 5x

Reorder the terms:
1 + 7x = 1(x + 1) + 5x

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

Combine like terms: 1x + 5x = 6x
1 + 7x = 1 + 6x

Add '-1' to each side of the equation.
1 + -1 + 7x = 1 + -1 + 6x

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

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

Solving
7x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
7x + -6x = 6x + -6x

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

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

Divide each side by '1'.
x = 0

Simplifying
x = 0

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