Solve 3x + 3 = 51

The solution of 3x + 3 = 51 is x = 16.

3x + 3 = 51\ \Rightarrow\ x = 16

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The lines y = 3x + 3 and y = 51 meet at x = 16. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

1
The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.
$3x + 3 = 51$
2
Subtract 3 from both sides:
$3x + 3 - 3 = 51 - 3 \ \Rightarrow\ 3x = 48$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{48}{3} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$3\cdot16 + 3 = 48 + 3 = 51 \checkmark$

LaTeX source of the formulas on this page

\[ 3x + 3 = 51\ \Rightarrow\ x = 16 \]
\[ 3x + 3 = 51 \]
\[ 3x + 3 - 3 = 51 - 3 \ \Rightarrow\ 3x = 48 \]
\[ \frac{3x}{3} = \frac{48}{3} \ \Rightarrow\ x = 16 \]
\[ 3\cdot16 + 3 = 48 + 3 = 51 \checkmark \]

Trying values of x in 3x + 3 = 51

x	3x + 3	Equals 51?
14	45	no
15	48	no
16	51	yes
17	54	no
18	57	no

Questions

What is x in 3x + 3 = 51?

The solution of 3x + 3 = 51 is x = 16.

How do you solve 3x + 3 = 51?

Subtract 3 from both sides to get 3x = 48, then divide both sides by 3 to get x = 16.

How do I check the answer?

Replace x by 16: 3(16) + 3 = 51, which is 51.

Solve 3x + 3 = 51

How to work it out

Trying values of x in 3x + 3 = 51

Questions

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