Solve 3x + 5 = 59

The solution of 3x + 5 = 59 is x = 18.

3x + 5 = 59\ \Rightarrow\ x = 18

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The lines y = 3x + 5 and y = 59 meet at x = 18. 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.
$3x + 5 = 59$
2
Subtract 5 from both sides:
$3x + 5 - 5 = 59 - 5 \ \Rightarrow\ 3x = 54$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{54}{3} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$3\cdot18 + 5 = 54 + 5 = 59 \checkmark$

LaTeX source of the formulas on this page

\[ 3x + 5 = 59\ \Rightarrow\ x = 18 \]
\[ 3x + 5 = 59 \]
\[ 3x + 5 - 5 = 59 - 5 \ \Rightarrow\ 3x = 54 \]
\[ \frac{3x}{3} = \frac{54}{3} \ \Rightarrow\ x = 18 \]
\[ 3\cdot18 + 5 = 54 + 5 = 59 \checkmark \]

Trying values of x in 3x + 5 = 59

x	3x + 5	Equals 59?
16	53	no
17	56	no
18	59	yes
19	62	no
20	65	no

Questions

What is x in 3x + 5 = 59?

The solution of 3x + 5 = 59 is x = 18.

How do you solve 3x + 5 = 59?

Subtract 5 from both sides to get 3x = 54, then divide both sides by 3 to get x = 18.

How do I check the answer?

Replace x by 18: 3(18) + 5 = 59, which is 59.

Solve 3x + 5 = 59

How to work it out

Trying values of x in 3x + 5 = 59

Questions

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