Solve 10x − 4 = −34

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

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

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

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

LaTeX source of the formulas on this page

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

Trying values of x in 10x − 4 = −34

x	10x − 4	Equals -34?
-5	-54	no
-4	-44	no
-3	-34	yes
-2	-24	no
-1	-14	no

Questions

What is x in 10x − 4 = −34?

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

How do you solve 10x − 4 = −34?

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

How do I check the answer?

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

Solve 10x − 4 = −34

How to work it out

Trying values of x in 10x − 4 = −34

Questions

Similar equations