3x-54=6(x-4)

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Solution for 3x-54=6(x-4) equation:


Simplifying
3x + -54 = 6(x + -4)

Reorder the terms:
-54 + 3x = 6(x + -4)

Reorder the terms:
-54 + 3x = 6(-4 + x)
-54 + 3x = (-4 * 6 + x * 6)
-54 + 3x = (-24 + 6x)

Solving
-54 + 3x = -24 + 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.
-54 + 3x + -6x = -24 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-54 + -3x = -24 + 6x + -6x

Combine like terms: 6x + -6x = 0
-54 + -3x = -24 + 0
-54 + -3x = -24

Add '54' to each side of the equation.
-54 + 54 + -3x = -24 + 54

Combine like terms: -54 + 54 = 0
0 + -3x = -24 + 54
-3x = -24 + 54

Combine like terms: -24 + 54 = 30
-3x = 30

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

Simplifying
x = -10

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