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

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


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

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

Reorder the terms:
-24 + 6x = 3(1 + 3x)
-24 + 6x = (1 * 3 + 3x * 3)
-24 + 6x = (3 + 9x)

Solving
-24 + 6x = 3 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-24 + 6x + -9x = 3 + 9x + -9x

Combine like terms: 6x + -9x = -3x
-24 + -3x = 3 + 9x + -9x

Combine like terms: 9x + -9x = 0
-24 + -3x = 3 + 0
-24 + -3x = 3

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

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

Combine like terms: 3 + 24 = 27
-3x = 27

Divide each side by '-3'.
x = -9

Simplifying
x = -9

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