3(x+7)+12x=51

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Solution for 3(x+7)+12x=51 equation:


Simplifying
3(x + 7) + 12x = 51

Reorder the terms:
3(7 + x) + 12x = 51
(7 * 3 + x * 3) + 12x = 51
(21 + 3x) + 12x = 51

Combine like terms: 3x + 12x = 15x
21 + 15x = 51

Solving
21 + 15x = 51

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + 15x = 51 + -21

Combine like terms: 21 + -21 = 0
0 + 15x = 51 + -21
15x = 51 + -21

Combine like terms: 51 + -21 = 30
15x = 30

Divide each side by '15'.
x = 2

Simplifying
x = 2

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