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

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


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

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

Combine like terms: 24 + -6 = 18
18 + -1x = 6x + -3

Reorder the terms:
18 + -1x = -3 + 6x

Solving
18 + -1x = -3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
18 + -1x + -6x = -3 + 6x + -6x

Combine like terms: -1x + -6x = -7x
18 + -7x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
18 + -7x = -3 + 0
18 + -7x = -3

Add '-18' to each side of the equation.
18 + -18 + -7x = -3 + -18

Combine like terms: 18 + -18 = 0
0 + -7x = -3 + -18
-7x = -3 + -18

Combine like terms: -3 + -18 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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