3(x+2)=6(2x+7)

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Solution for 3(x+2)=6(2x+7) equation:


Simplifying
3(x + 2) = 6(2x + 7)

Reorder the terms:
3(2 + x) = 6(2x + 7)
(2 * 3 + x * 3) = 6(2x + 7)
(6 + 3x) = 6(2x + 7)

Reorder the terms:
6 + 3x = 6(7 + 2x)
6 + 3x = (7 * 6 + 2x * 6)
6 + 3x = (42 + 12x)

Solving
6 + 3x = 42 + 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.
6 + 3x + -12x = 42 + 12x + -12x

Combine like terms: 3x + -12x = -9x
6 + -9x = 42 + 12x + -12x

Combine like terms: 12x + -12x = 0
6 + -9x = 42 + 0
6 + -9x = 42

Add '-6' to each side of the equation.
6 + -6 + -9x = 42 + -6

Combine like terms: 6 + -6 = 0
0 + -9x = 42 + -6
-9x = 42 + -6

Combine like terms: 42 + -6 = 36
-9x = 36

Divide each side by '-9'.
x = -4

Simplifying
x = -4

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