6(4x-1)=12(x+3)

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Solution for 6(4x-1)=12(x+3) equation:


Simplifying
6(4x + -1) = 12(x + 3)

Reorder the terms:
6(-1 + 4x) = 12(x + 3)
(-1 * 6 + 4x * 6) = 12(x + 3)
(-6 + 24x) = 12(x + 3)

Reorder the terms:
-6 + 24x = 12(3 + x)
-6 + 24x = (3 * 12 + x * 12)
-6 + 24x = (36 + 12x)

Solving
-6 + 24x = 36 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-6 + 24x + -12x = 36 + 12x + -12x

Combine like terms: 24x + -12x = 12x
-6 + 12x = 36 + 12x + -12x

Combine like terms: 12x + -12x = 0
-6 + 12x = 36 + 0
-6 + 12x = 36

Add '6' to each side of the equation.
-6 + 6 + 12x = 36 + 6

Combine like terms: -6 + 6 = 0
0 + 12x = 36 + 6
12x = 36 + 6

Combine like terms: 36 + 6 = 42
12x = 42

Divide each side by '12'.
x = 3.5

Simplifying
x = 3.5

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