Solve 3x − 11 = −35

The solution of 3x − 11 = −35 is x = -8.

3x - 11 = -35\ \Rightarrow\ x = -8

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The lines y = 3x − 11 and y = -35 meet at x = -8. 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.
$3x - 11 = -35$
2
Add 11 to both sides:
$3x - 11 + 11 = -35 + 11 \ \Rightarrow\ 3x = -24$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{-24}{3} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$3\cdot(-8) - 11 = -24 - 11 = -35 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 11 = -35\ \Rightarrow\ x = -8 \]
\[ 3x - 11 = -35 \]
\[ 3x - 11 + 11 = -35 + 11 \ \Rightarrow\ 3x = -24 \]
\[ \frac{3x}{3} = \frac{-24}{3} \ \Rightarrow\ x = -8 \]
\[ 3\cdot(-8) - 11 = -24 - 11 = -35 \checkmark \]

Trying values of x in 3x − 11 = −35

x	3x − 11	Equals -35?
-10	-41	no
-9	-38	no
-8	-35	yes
-7	-32	no
-6	-29	no

Questions

What is x in 3x − 11 = −35?

The solution of 3x − 11 = −35 is x = -8.

How do you solve 3x − 11 = −35?

Add 11 to both sides to get 3x = -24, then divide both sides by 3 to get x = -8.

How do I check the answer?

Replace x by -8: 3(-8) − 11 = -35, which is -35.

Solve 3x − 11 = −35

How to work it out

Trying values of x in 3x − 11 = −35

Questions

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