3(4x+6)=6(x+10)

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Solution for 3(4x+6)=6(x+10) equation:


Simplifying
3(4x + 6) = 6(x + 10)

Reorder the terms:
3(6 + 4x) = 6(x + 10)
(6 * 3 + 4x * 3) = 6(x + 10)
(18 + 12x) = 6(x + 10)

Reorder the terms:
18 + 12x = 6(10 + x)
18 + 12x = (10 * 6 + x * 6)
18 + 12x = (60 + 6x)

Solving
18 + 12x = 60 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
18 + 12x + -6x = 60 + 6x + -6x

Combine like terms: 12x + -6x = 6x
18 + 6x = 60 + 6x + -6x

Combine like terms: 6x + -6x = 0
18 + 6x = 60 + 0
18 + 6x = 60

Add '-18' to each side of the equation.
18 + -18 + 6x = 60 + -18

Combine like terms: 18 + -18 = 0
0 + 6x = 60 + -18
6x = 60 + -18

Combine like terms: 60 + -18 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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