3x+24=6(x+4)-3

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Solution for 3x+24=6(x+4)-3 equation:


Simplifying
3x + 24 = 6(x + 4) + -3

Reorder the terms:
24 + 3x = 6(x + 4) + -3

Reorder the terms:
24 + 3x = 6(4 + x) + -3
24 + 3x = (4 * 6 + x * 6) + -3
24 + 3x = (24 + 6x) + -3

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

Combine like terms: 24 + -3 = 21
24 + 3x = 21 + 6x

Solving
24 + 3x = 21 + 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.
24 + 3x + -6x = 21 + 6x + -6x

Combine like terms: 3x + -6x = -3x
24 + -3x = 21 + 6x + -6x

Combine like terms: 6x + -6x = 0
24 + -3x = 21 + 0
24 + -3x = 21

Add '-24' to each side of the equation.
24 + -24 + -3x = 21 + -24

Combine like terms: 24 + -24 = 0
0 + -3x = 21 + -24
-3x = 21 + -24

Combine like terms: 21 + -24 = -3
-3x = -3

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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