Solve 3x − 11 = −17

The solution of 3x − 11 = −17 is x = -2.

3x - 11 = -17\ \Rightarrow\ x = -2

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The lines y = 3x − 11 and y = -17 meet at x = -2. 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.
$3x - 11 = -17$
2
Add 11 to both sides:
$3x - 11 + 11 = -17 + 11 \ \Rightarrow\ 3x = -6$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{-6}{3} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$3\cdot(-2) - 11 = -6 - 11 = -17 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 11 = -17\ \Rightarrow\ x = -2 \]
\[ 3x - 11 = -17 \]
\[ 3x - 11 + 11 = -17 + 11 \ \Rightarrow\ 3x = -6 \]
\[ \frac{3x}{3} = \frac{-6}{3} \ \Rightarrow\ x = -2 \]
\[ 3\cdot(-2) - 11 = -6 - 11 = -17 \checkmark \]

Trying values of x in 3x − 11 = −17

x	3x − 11	Equals -17?
-4	-23	no
-3	-20	no
-2	-17	yes
-1	-14	no
0	-11	no

Questions

What is x in 3x − 11 = −17?

The solution of 3x − 11 = −17 is x = -2.

How do you solve 3x − 11 = −17?

Add 11 to both sides to get 3x = -6, then divide both sides by 3 to get x = -2.

How do I check the answer?

Replace x by -2: 3(-2) − 11 = -17, which is -17.

Solve 3x − 11 = −17

How to work it out

Trying values of x in 3x − 11 = −17

Questions

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