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

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Solution for 8(x+1)-x=-7x+36 equation:


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

Reorder the terms:
8(1 + x) + -1x = -7x + 36
(1 * 8 + x * 8) + -1x = -7x + 36
(8 + 8x) + -1x = -7x + 36

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

Reorder the terms:
8 + 7x = 36 + -7x

Solving
8 + 7x = 36 + -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.
8 + 7x + 7x = 36 + -7x + 7x

Combine like terms: 7x + 7x = 14x
8 + 14x = 36 + -7x + 7x

Combine like terms: -7x + 7x = 0
8 + 14x = 36 + 0
8 + 14x = 36

Add '-8' to each side of the equation.
8 + -8 + 14x = 36 + -8

Combine like terms: 8 + -8 = 0
0 + 14x = 36 + -8
14x = 36 + -8

Combine like terms: 36 + -8 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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