Solve 4x − 11 = 17

The solution of 4x − 11 = 17 is x = 7.

4x - 11 = 17\ \Rightarrow\ x = 7

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The lines y = 4x − 11 and y = 17 meet at x = 7. 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.
$4x - 11 = 17$
2
Add 11 to both sides:
$4x - 11 + 11 = 17 + 11 \ \Rightarrow\ 4x = 28$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{28}{4} \ \Rightarrow\ x = 7$
4
Check: put x = 7 back into the equation.
$4\cdot7 - 11 = 28 - 11 = 17 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 11 = 17\ \Rightarrow\ x = 7 \]
\[ 4x - 11 = 17 \]
\[ 4x - 11 + 11 = 17 + 11 \ \Rightarrow\ 4x = 28 \]
\[ \frac{4x}{4} = \frac{28}{4} \ \Rightarrow\ x = 7 \]
\[ 4\cdot7 - 11 = 28 - 11 = 17 \checkmark \]

Trying values of x in 4x − 11 = 17

x	4x − 11	Equals 17?
5	9	no
6	13	no
7	17	yes
8	21	no
9	25	no

Questions

What is x in 4x − 11 = 17?

The solution of 4x − 11 = 17 is x = 7.

How do you solve 4x − 11 = 17?

Add 11 to both sides to get 4x = 28, then divide both sides by 4 to get x = 7.

How do I check the answer?

Replace x by 7: 4(7) − 11 = 17, which is 17.

Solve 4x − 11 = 17

How to work it out

Trying values of x in 4x − 11 = 17

Questions

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