(x+3)-(x-1)2=7x

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Solution for (x+3)-(x-1)2=7x equation:


Simplifying
(x + 3) + -1(x + -1) * 2 = 7x

Reorder the terms:
(3 + x) + -1(x + -1) * 2 = 7x

Remove parenthesis around (3 + x)
3 + x + -1(x + -1) * 2 = 7x

Reorder the terms:
3 + x + -1(-1 + x) * 2 = 7x

Reorder the terms for easier multiplication:
3 + x + -1 * 2(-1 + x) = 7x

Multiply -1 * 2
3 + x + -2(-1 + x) = 7x
3 + x + (-1 * -2 + x * -2) = 7x
3 + x + (2 + -2x) = 7x

Reorder the terms:
3 + 2 + x + -2x = 7x

Combine like terms: 3 + 2 = 5
5 + x + -2x = 7x

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

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

Combine like terms: -1x + -7x = -8x
5 + -8x = 7x + -7x

Combine like terms: 7x + -7x = 0
5 + -8x = 0

Add '-5' to each side of the equation.
5 + -5 + -8x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8x = 0 + -5
-8x = 0 + -5

Combine like terms: 0 + -5 = -5
-8x = -5

Divide each side by '-8'.
x = 0.625

Simplifying
x = 0.625

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