Solve 7x + 2 = −19

The solution of 7x + 2 = −19 is x = -3.

7x + 2 = -19\ \Rightarrow\ x = -3

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

The lines y = 7x + 2 and y = -19 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 addition, then the multiplication.
$7x + 2 = -19$
2
Subtract 2 from both sides:
$7x + 2 - 2 = -19 - 2 \ \Rightarrow\ 7x = -21$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-21}{7} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$7\cdot(-3) + 2 = -21 + 2 = -19 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 2 = -19\ \Rightarrow\ x = -3 \]
\[ 7x + 2 = -19 \]
\[ 7x + 2 - 2 = -19 - 2 \ \Rightarrow\ 7x = -21 \]
\[ \frac{7x}{7} = \frac{-21}{7} \ \Rightarrow\ x = -3 \]
\[ 7\cdot(-3) + 2 = -21 + 2 = -19 \checkmark \]

Trying values of x in 7x + 2 = −19

x	7x + 2	Equals -19?
-5	-33	no
-4	-26	no
-3	-19	yes
-2	-12	no
-1	-5	no

Questions

What is x in 7x + 2 = −19?

The solution of 7x + 2 = −19 is x = -3.

How do you solve 7x + 2 = −19?

Subtract 2 from both sides to get 7x = -21, then divide both sides by 7 to get x = -3.

How do I check the answer?

Replace x by -3: 7(-3) + 2 = -19, which is -19.

Solve 7x + 2 = −19

How to work it out

Trying values of x in 7x + 2 = −19

Questions

Similar equations