3(x-5)=12x-6

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Solution for 3(x-5)=12x-6 equation:


Simplifying
3(x + -5) = 12x + -6

Reorder the terms:
3(-5 + x) = 12x + -6
(-5 * 3 + x * 3) = 12x + -6
(-15 + 3x) = 12x + -6

Reorder the terms:
-15 + 3x = -6 + 12x

Solving
-15 + 3x = -6 + 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.
-15 + 3x + -12x = -6 + 12x + -12x

Combine like terms: 3x + -12x = -9x
-15 + -9x = -6 + 12x + -12x

Combine like terms: 12x + -12x = 0
-15 + -9x = -6 + 0
-15 + -9x = -6

Add '15' to each side of the equation.
-15 + 15 + -9x = -6 + 15

Combine like terms: -15 + 15 = 0
0 + -9x = -6 + 15
-9x = -6 + 15

Combine like terms: -6 + 15 = 9
-9x = 9

Divide each side by '-9'.
x = -1

Simplifying
x = -1

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