24-(x+5)=6x-2

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Solution for 24-(x+5)=6x-2 equation:


Simplifying
24 + -1(x + 5) = 6x + -2

Reorder the terms:
24 + -1(5 + x) = 6x + -2
24 + (5 * -1 + x * -1) = 6x + -2
24 + (-5 + -1x) = 6x + -2

Combine like terms: 24 + -5 = 19
19 + -1x = 6x + -2

Reorder the terms:
19 + -1x = -2 + 6x

Solving
19 + -1x = -2 + 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.
19 + -1x + -6x = -2 + 6x + -6x

Combine like terms: -1x + -6x = -7x
19 + -7x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
19 + -7x = -2 + 0
19 + -7x = -2

Add '-19' to each side of the equation.
19 + -19 + -7x = -2 + -19

Combine like terms: 19 + -19 = 0
0 + -7x = -2 + -19
-7x = -2 + -19

Combine like terms: -2 + -19 = -21
-7x = -21

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

Simplifying
x = 3

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