Solve 3x − 7 = −10

The solution of 3x − 7 = −10 is x = -1.

3x - 7 = -10\ \Rightarrow\ x = -1

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

The lines y = 3x − 7 and y = -10 meet at x = -1. 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.
$3x - 7 = -10$
2
Add 7 to both sides:
$3x - 7 + 7 = -10 + 7 \ \Rightarrow\ 3x = -3$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{-3}{3} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$3\cdot(-1) - 7 = -3 - 7 = -10 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 7 = -10\ \Rightarrow\ x = -1 \]
\[ 3x - 7 = -10 \]
\[ 3x - 7 + 7 = -10 + 7 \ \Rightarrow\ 3x = -3 \]
\[ \frac{3x}{3} = \frac{-3}{3} \ \Rightarrow\ x = -1 \]
\[ 3\cdot(-1) - 7 = -3 - 7 = -10 \checkmark \]

Trying values of x in 3x − 7 = −10

x	3x − 7	Equals -10?
-3	-16	no
-2	-13	no
-1	-10	yes
0	-7	no
1	-4	no

Questions

What is x in 3x − 7 = −10?

The solution of 3x − 7 = −10 is x = -1.

How do you solve 3x − 7 = −10?

Add 7 to both sides to get 3x = -3, then divide both sides by 3 to get x = -1.

How do I check the answer?

Replace x by -1: 3(-1) − 7 = -10, which is -10.

Solve 3x − 7 = −10

How to work it out

Trying values of x in 3x − 7 = −10

Questions

Similar equations