6(3x+2)=3(4x+6)

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Solution for 6(3x+2)=3(4x+6) equation:


Simplifying
6(3x + 2) = 3(4x + 6)

Reorder the terms:
6(2 + 3x) = 3(4x + 6)
(2 * 6 + 3x * 6) = 3(4x + 6)
(12 + 18x) = 3(4x + 6)

Reorder the terms:
12 + 18x = 3(6 + 4x)
12 + 18x = (6 * 3 + 4x * 3)
12 + 18x = (18 + 12x)

Solving
12 + 18x = 18 + 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.
12 + 18x + -12x = 18 + 12x + -12x

Combine like terms: 18x + -12x = 6x
12 + 6x = 18 + 12x + -12x

Combine like terms: 12x + -12x = 0
12 + 6x = 18 + 0
12 + 6x = 18

Add '-12' to each side of the equation.
12 + -12 + 6x = 18 + -12

Combine like terms: 12 + -12 = 0
0 + 6x = 18 + -12
6x = 18 + -12

Combine like terms: 18 + -12 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

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