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

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


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

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

Reorder the terms:
18 + 6x = 4(6 + x)
18 + 6x = (6 * 4 + x * 4)
18 + 6x = (24 + 4x)

Solving
18 + 6x = 24 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
18 + 6x + -4x = 24 + 4x + -4x

Combine like terms: 6x + -4x = 2x
18 + 2x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
18 + 2x = 24 + 0
18 + 2x = 24

Add '-18' to each side of the equation.
18 + -18 + 2x = 24 + -18

Combine like terms: 18 + -18 = 0
0 + 2x = 24 + -18
2x = 24 + -18

Combine like terms: 24 + -18 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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