Solve 3x − 4 = −34

The solution of 3x − 4 = −34 is x = -10.

3x - 4 = -34\ \Rightarrow\ x = -10

Explain it step by step in chat Make a short video of it

The lines y = 3x − 4 and y = -34 meet at x = -10. 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.
$3x - 4 = -34$
2
Add 4 to both sides:
$3x - 4 + 4 = -34 + 4 \ \Rightarrow\ 3x = -30$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{-30}{3} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$3\cdot(-10) - 4 = -30 - 4 = -34 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 4 = -34\ \Rightarrow\ x = -10 \]
\[ 3x - 4 = -34 \]
\[ 3x - 4 + 4 = -34 + 4 \ \Rightarrow\ 3x = -30 \]
\[ \frac{3x}{3} = \frac{-30}{3} \ \Rightarrow\ x = -10 \]
\[ 3\cdot(-10) - 4 = -30 - 4 = -34 \checkmark \]

Trying values of x in 3x − 4 = −34

x	3x − 4	Equals -34?
-12	-40	no
-11	-37	no
-10	-34	yes
-9	-31	no
-8	-28	no

Questions

What is x in 3x − 4 = −34?

The solution of 3x − 4 = −34 is x = -10.

How do you solve 3x − 4 = −34?

Add 4 to both sides to get 3x = -30, then divide both sides by 3 to get x = -10.

How do I check the answer?

Replace x by -10: 3(-10) − 4 = -34, which is -34.

Solve 3x − 4 = −34

How to work it out

Trying values of x in 3x − 4 = −34

Questions

Similar equations