(3-7x)+2(5x+1)=x

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Solution for (3-7x)+2(5x+1)=x equation:


Simplifying
(3 + -7x) + 2(5x + 1) = x

Remove parenthesis around (3 + -7x)
3 + -7x + 2(5x + 1) = x

Reorder the terms:
3 + -7x + 2(1 + 5x) = x
3 + -7x + (1 * 2 + 5x * 2) = x
3 + -7x + (2 + 10x) = x

Reorder the terms:
3 + 2 + -7x + 10x = x

Combine like terms: 3 + 2 = 5
5 + -7x + 10x = x

Combine like terms: -7x + 10x = 3x
5 + 3x = x

Solving
5 + 3x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
5 + 3x + -1x = x + -1x

Combine like terms: 3x + -1x = 2x
5 + 2x = x + -1x

Combine like terms: x + -1x = 0
5 + 2x = 0

Add '-5' to each side of the equation.
5 + -5 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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