3(3+x)+6(1+x)=51

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Solution for 3(3+x)+6(1+x)=51 equation: 


Simplifying
3(3 + x) + 6(1 + x) = 51
(3 * 3 + x * 3) + 6(1 + x) = 51
(9 + 3x) + 6(1 + x) = 51
9 + 3x + (1 * 6 + x * 6) = 51
9 + 3x + (6 + 6x) = 51

Reorder the terms:
9 + 6 + 3x + 6x = 51

Combine like terms: 9 + 6 = 15
15 + 3x + 6x = 51

Combine like terms: 3x + 6x = 9x
15 + 9x = 51

Solving
15 + 9x = 51

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 9x = 51 + -15

Combine like terms: 15 + -15 = 0
0 + 9x = 51 + -15
9x = 51 + -15

Combine like terms: 51 + -15 = 36
9x = 36

Divide each side by '9'.
x = 4

Simplifying
x = 4

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