Solve 4x − 11 = 49

The solution of 4x − 11 = 49 is x = 15.

4x - 11 = 49\ \Rightarrow\ x = 15

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The lines y = 4x − 11 and y = 49 meet at x = 15. 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.
$4x - 11 = 49$
2
Add 11 to both sides:
$4x - 11 + 11 = 49 + 11 \ \Rightarrow\ 4x = 60$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{60}{4} \ \Rightarrow\ x = 15$
4
Check: put x = 15 back into the equation.
$4\cdot15 - 11 = 60 - 11 = 49 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 11 = 49\ \Rightarrow\ x = 15 \]
\[ 4x - 11 = 49 \]
\[ 4x - 11 + 11 = 49 + 11 \ \Rightarrow\ 4x = 60 \]
\[ \frac{4x}{4} = \frac{60}{4} \ \Rightarrow\ x = 15 \]
\[ 4\cdot15 - 11 = 60 - 11 = 49 \checkmark \]

Trying values of x in 4x − 11 = 49

x	4x − 11	Equals 49?
13	41	no
14	45	no
15	49	yes
16	53	no
17	57	no

Questions

What is x in 4x − 11 = 49?

The solution of 4x − 11 = 49 is x = 15.

How do you solve 4x − 11 = 49?

Add 11 to both sides to get 4x = 60, then divide both sides by 4 to get x = 15.

How do I check the answer?

Replace x by 15: 4(15) − 11 = 49, which is 49.

Solve 4x − 11 = 49

How to work it out

Trying values of x in 4x − 11 = 49

Questions

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