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

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


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

Reorder the terms:
3(-6 + x) = 2(3x + -24)
(-6 * 3 + x * 3) = 2(3x + -24)
(-18 + 3x) = 2(3x + -24)

Reorder the terms:
-18 + 3x = 2(-24 + 3x)
-18 + 3x = (-24 * 2 + 3x * 2)
-18 + 3x = (-48 + 6x)

Solving
-18 + 3x = -48 + 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 + 3x + -6x = -48 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-18 + -3x = -48 + 6x + -6x

Combine like terms: 6x + -6x = 0
-18 + -3x = -48 + 0
-18 + -3x = -48

Add '18' to each side of the equation.
-18 + 18 + -3x = -48 + 18

Combine like terms: -18 + 18 = 0
0 + -3x = -48 + 18
-3x = -48 + 18

Combine like terms: -48 + 18 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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