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

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


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

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

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

Solving
18 + 12x = 12 + 18x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '-6'.
x = 1

Simplifying
x = 1

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