6(x+4)=6(2x+1)

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Solution for 6(x+4)=6(2x+1) equation:


Simplifying
6(x + 4) = 6(2x + 1)

Reorder the terms:
6(4 + x) = 6(2x + 1)
(4 * 6 + x * 6) = 6(2x + 1)
(24 + 6x) = 6(2x + 1)

Reorder the terms:
24 + 6x = 6(1 + 2x)
24 + 6x = (1 * 6 + 2x * 6)
24 + 6x = (6 + 12x)

Solving
24 + 6x = 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.
24 + 6x + -12x = 6 + 12x + -12x

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

Combine like terms: 12x + -12x = 0
24 + -6x = 6 + 0
24 + -6x = 6

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

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

Combine like terms: 6 + -24 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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