(1+7x)-(-7+x)=36

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Solution for (1+7x)-(-7+x)=36 equation:


Simplifying
(1 + 7x) + -1(-7 + x) = 36

Remove parenthesis around (1 + 7x)
1 + 7x + -1(-7 + x) = 36
1 + 7x + (-7 * -1 + x * -1) = 36
1 + 7x + (7 + -1x) = 36

Reorder the terms:
1 + 7 + 7x + -1x = 36

Combine like terms: 1 + 7 = 8
8 + 7x + -1x = 36

Combine like terms: 7x + -1x = 6x
8 + 6x = 36

Solving
8 + 6x = 36

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 6x = 36 + -8

Combine like terms: 8 + -8 = 0
0 + 6x = 36 + -8
6x = 36 + -8

Combine like terms: 36 + -8 = 28
6x = 28

Divide each side by '6'.
x = 4.666666667

Simplifying
x = 4.666666667

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