(x+2)=6x-24(1-x)-3

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Solution for (x+2)=6x-24(1-x)-3 equation:


Simplifying
(x + 2) = 6x + -24(1 + -1x) + -3

Reorder the terms:
(2 + x) = 6x + -24(1 + -1x) + -3

Remove parenthesis around (2 + x)
2 + x = 6x + -24(1 + -1x) + -3
2 + x = 6x + (1 * -24 + -1x * -24) + -3
2 + x = 6x + (-24 + 24x) + -3

Reorder the terms:
2 + x = -24 + -3 + 6x + 24x

Combine like terms: -24 + -3 = -27
2 + x = -27 + 6x + 24x

Combine like terms: 6x + 24x = 30x
2 + x = -27 + 30x

Solving
2 + x = -27 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
2 + x + -30x = -27 + 30x + -30x

Combine like terms: x + -30x = -29x
2 + -29x = -27 + 30x + -30x

Combine like terms: 30x + -30x = 0
2 + -29x = -27 + 0
2 + -29x = -27

Add '-2' to each side of the equation.
2 + -2 + -29x = -27 + -2

Combine like terms: 2 + -2 = 0
0 + -29x = -27 + -2
-29x = -27 + -2

Combine like terms: -27 + -2 = -29
-29x = -29

Divide each side by '-29'.
x = 1

Simplifying
x = 1

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