6(x-2)=3(x+8)-24

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Solution for 6(x-2)=3(x+8)-24 equation:


Simplifying
6(x + -2) = 3(x + 8) + -24

Reorder the terms:
6(-2 + x) = 3(x + 8) + -24
(-2 * 6 + x * 6) = 3(x + 8) + -24
(-12 + 6x) = 3(x + 8) + -24

Reorder the terms:
-12 + 6x = 3(8 + x) + -24
-12 + 6x = (8 * 3 + x * 3) + -24
-12 + 6x = (24 + 3x) + -24

Reorder the terms:
-12 + 6x = 24 + -24 + 3x

Combine like terms: 24 + -24 = 0
-12 + 6x = 0 + 3x
-12 + 6x = 3x

Solving
-12 + 6x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-12 + 6x + -3x = 3x + -3x

Combine like terms: 6x + -3x = 3x
-12 + 3x = 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 3x = 0

Add '12' to each side of the equation.
-12 + 12 + 3x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = 0 + 12
3x = 0 + 12

Combine like terms: 0 + 12 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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