Solve 7x + 3 = −67

The solution of 7x + 3 = −67 is x = -10.

7x + 3 = -67\ \Rightarrow\ x = -10

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

The lines y = 7x + 3 and y = -67 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 addition, then the multiplication.
$7x + 3 = -67$
2
Subtract 3 from both sides:
$7x + 3 - 3 = -67 - 3 \ \Rightarrow\ 7x = -70$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-70}{7} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$7\cdot(-10) + 3 = -70 + 3 = -67 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 3 = -67\ \Rightarrow\ x = -10 \]
\[ 7x + 3 = -67 \]
\[ 7x + 3 - 3 = -67 - 3 \ \Rightarrow\ 7x = -70 \]
\[ \frac{7x}{7} = \frac{-70}{7} \ \Rightarrow\ x = -10 \]
\[ 7\cdot(-10) + 3 = -70 + 3 = -67 \checkmark \]

Trying values of x in 7x + 3 = −67

x	7x + 3	Equals -67?
-12	-81	no
-11	-74	no
-10	-67	yes
-9	-60	no
-8	-53	no

Questions

What is x in 7x + 3 = −67?

The solution of 7x + 3 = −67 is x = -10.

How do you solve 7x + 3 = −67?

Subtract 3 from both sides to get 7x = -70, then divide both sides by 7 to get x = -10.

How do I check the answer?

Replace x by -10: 7(-10) + 3 = -67, which is -67.

Solve 7x + 3 = −67

How to work it out

Trying values of x in 7x + 3 = −67

Questions

Similar equations