(x-3)-(4x-1)=-18-x

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Solution for (x-3)-(4x-1)=-18-x equation:


Simplifying
(x + -3) + -1(4x + -1) = -18 + -1x

Reorder the terms:
(-3 + x) + -1(4x + -1) = -18 + -1x

Remove parenthesis around (-3 + x)
-3 + x + -1(4x + -1) = -18 + -1x

Reorder the terms:
-3 + x + -1(-1 + 4x) = -18 + -1x
-3 + x + (-1 * -1 + 4x * -1) = -18 + -1x
-3 + x + (1 + -4x) = -18 + -1x

Reorder the terms:
-3 + 1 + x + -4x = -18 + -1x

Combine like terms: -3 + 1 = -2
-2 + x + -4x = -18 + -1x

Combine like terms: x + -4x = -3x
-2 + -3x = -18 + -1x

Solving
-2 + -3x = -18 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-2 + -3x + x = -18 + -1x + x

Combine like terms: -3x + x = -2x
-2 + -2x = -18 + -1x + x

Combine like terms: -1x + x = 0
-2 + -2x = -18 + 0
-2 + -2x = -18

Add '2' to each side of the equation.
-2 + 2 + -2x = -18 + 2

Combine like terms: -2 + 2 = 0
0 + -2x = -18 + 2
-2x = -18 + 2

Combine like terms: -18 + 2 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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