3(x+14)=6(x+12)

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Solution for 3(x+14)=6(x+12) equation:


Simplifying
3(x + 14) = 6(x + 12)

Reorder the terms:
3(14 + x) = 6(x + 12)
(14 * 3 + x * 3) = 6(x + 12)
(42 + 3x) = 6(x + 12)

Reorder the terms:
42 + 3x = 6(12 + x)
42 + 3x = (12 * 6 + x * 6)
42 + 3x = (72 + 6x)

Solving
42 + 3x = 72 + 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.
42 + 3x + -6x = 72 + 6x + -6x

Combine like terms: 3x + -6x = -3x
42 + -3x = 72 + 6x + -6x

Combine like terms: 6x + -6x = 0
42 + -3x = 72 + 0
42 + -3x = 72

Add '-42' to each side of the equation.
42 + -42 + -3x = 72 + -42

Combine like terms: 42 + -42 = 0
0 + -3x = 72 + -42
-3x = 72 + -42

Combine like terms: 72 + -42 = 30
-3x = 30

Divide each side by '-3'.
x = -10

Simplifying
x = -10

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