Solve 4x − 5 = 59

The solution of 4x − 5 = 59 is x = 16.

4x - 5 = 59\ \Rightarrow\ x = 16

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The lines y = 4x − 5 and y = 59 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 subtraction, then the multiplication.
$4x - 5 = 59$
2
Add 5 to both sides:
$4x - 5 + 5 = 59 + 5 \ \Rightarrow\ 4x = 64$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{64}{4} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$4\cdot16 - 5 = 64 - 5 = 59 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 5 = 59\ \Rightarrow\ x = 16 \]
\[ 4x - 5 = 59 \]
\[ 4x - 5 + 5 = 59 + 5 \ \Rightarrow\ 4x = 64 \]
\[ \frac{4x}{4} = \frac{64}{4} \ \Rightarrow\ x = 16 \]
\[ 4\cdot16 - 5 = 64 - 5 = 59 \checkmark \]

Trying values of x in 4x − 5 = 59

x	4x − 5	Equals 59?
14	51	no
15	55	no
16	59	yes
17	63	no
18	67	no

Questions

What is x in 4x − 5 = 59?

The solution of 4x − 5 = 59 is x = 16.

How do you solve 4x − 5 = 59?

Add 5 to both sides to get 4x = 64, then divide both sides by 4 to get x = 16.

How do I check the answer?

Replace x by 16: 4(16) − 5 = 59, which is 59.

Solve 4x − 5 = 59

How to work it out

Trying values of x in 4x − 5 = 59

Questions

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