6(x+3)=2(x+21)

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Solution for 6(x+3)=2(x+21) equation:


Simplifying
6(x + 3) = 2(x + 21)

Reorder the terms:
6(3 + x) = 2(x + 21)
(3 * 6 + x * 6) = 2(x + 21)
(18 + 6x) = 2(x + 21)

Reorder the terms:
18 + 6x = 2(21 + x)
18 + 6x = (21 * 2 + x * 2)
18 + 6x = (42 + 2x)

Solving
18 + 6x = 42 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
18 + 6x + -2x = 42 + 2x + -2x

Combine like terms: 6x + -2x = 4x
18 + 4x = 42 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + 4x = 42 + 0
18 + 4x = 42

Add '-18' to each side of the equation.
18 + -18 + 4x = 42 + -18

Combine like terms: 18 + -18 = 0
0 + 4x = 42 + -18
4x = 42 + -18

Combine like terms: 42 + -18 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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