3(x+7)=12(x-2)

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Solution for 3(x+7)=12(x-2) equation: 


Simplifying
3(x + 7) = 12(x + -2)

Reorder the terms:
3(7 + x) = 12(x + -2)
(7 * 3 + x * 3) = 12(x + -2)
(21 + 3x) = 12(x + -2)

Reorder the terms:
21 + 3x = 12(-2 + x)
21 + 3x = (-2 * 12 + x * 12)
21 + 3x = (-24 + 12x)

Solving
21 + 3x = -24 + 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.
21 + 3x + -12x = -24 + 12x + -12x

Combine like terms: 3x + -12x = -9x
21 + -9x = -24 + 12x + -12x

Combine like terms: 12x + -12x = 0
21 + -9x = -24 + 0
21 + -9x = -24

Add '-21' to each side of the equation.
21 + -21 + -9x = -24 + -21

Combine like terms: 21 + -21 = 0
0 + -9x = -24 + -21
-9x = -24 + -21

Combine like terms: -24 + -21 = -45
-9x = -45

Divide each side by '-9'.
x = 5

Simplifying
x = 5

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