Solve 3x − 10 = −4

The solution of 3x − 10 = −4 is x = 2.

3x - 10 = -4\ \Rightarrow\ x = 2

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

The lines y = 3x − 10 and y = -4 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.
$3x - 10 = -4$
2
Add 10 to both sides:
$3x - 10 + 10 = -4 + 10 \ \Rightarrow\ 3x = 6$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{6}{3} \ \Rightarrow\ x = 2$
4
Check: put x = 2 back into the equation.
$3\cdot2 - 10 = 6 - 10 = -4 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 10 = -4\ \Rightarrow\ x = 2 \]
\[ 3x - 10 = -4 \]
\[ 3x - 10 + 10 = -4 + 10 \ \Rightarrow\ 3x = 6 \]
\[ \frac{3x}{3} = \frac{6}{3} \ \Rightarrow\ x = 2 \]
\[ 3\cdot2 - 10 = 6 - 10 = -4 \checkmark \]

Trying values of x in 3x − 10 = −4

x	3x − 10	Equals -4?
0	-10	no
1	-7	no
2	-4	yes
3	-1	no
4	2	no

Questions

What is x in 3x − 10 = −4?

The solution of 3x − 10 = −4 is x = 2.

How do you solve 3x − 10 = −4?

Add 10 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) − 10 = -4, which is -4.

Solve 3x − 10 = −4

How to work it out

Trying values of x in 3x − 10 = −4

Questions

Similar equations