(1-x)+(4x+17)=-3x

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Solution for (1-x)+(4x+17)=-3x equation:


Simplifying
(1 + -1x) + (4x + 17) = -3x

Remove parenthesis around (1 + -1x)
1 + -1x + (4x + 17) = -3x

Reorder the terms:
1 + -1x + (17 + 4x) = -3x

Remove parenthesis around (17 + 4x)
1 + -1x + 17 + 4x = -3x

Reorder the terms:
1 + 17 + -1x + 4x = -3x

Combine like terms: 1 + 17 = 18
18 + -1x + 4x = -3x

Combine like terms: -1x + 4x = 3x
18 + 3x = -3x

Solving
18 + 3x = -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
18 + 3x + 3x = -3x + 3x

Combine like terms: 3x + 3x = 6x
18 + 6x = -3x + 3x

Combine like terms: -3x + 3x = 0
18 + 6x = 0

Add '-18' to each side of the equation.
18 + -18 + 6x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 6x = 0 + -18
6x = 0 + -18

Combine like terms: 0 + -18 = -18
6x = -18

Divide each side by '6'.
x = -3

Simplifying
x = -3

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