Solve 5x + 7 = −43

The solution of 5x + 7 = −43 is x = -10.

5x + 7 = -43\ \Rightarrow\ x = -10

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

The lines y = 5x + 7 and y = -43 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.
$5x + 7 = -43$
2
Subtract 7 from both sides:
$5x + 7 - 7 = -43 - 7 \ \Rightarrow\ 5x = -50$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-50}{5} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$5\cdot(-10) + 7 = -50 + 7 = -43 \checkmark$

LaTeX source of the formulas on this page

\[ 5x + 7 = -43\ \Rightarrow\ x = -10 \]
\[ 5x + 7 = -43 \]
\[ 5x + 7 - 7 = -43 - 7 \ \Rightarrow\ 5x = -50 \]
\[ \frac{5x}{5} = \frac{-50}{5} \ \Rightarrow\ x = -10 \]
\[ 5\cdot(-10) + 7 = -50 + 7 = -43 \checkmark \]

Trying values of x in 5x + 7 = −43

x	5x + 7	Equals -43?
-12	-53	no
-11	-48	no
-10	-43	yes
-9	-38	no
-8	-33	no

Questions

What is x in 5x + 7 = −43?

The solution of 5x + 7 = −43 is x = -10.

How do you solve 5x + 7 = −43?

Subtract 7 from both sides to get 5x = -50, then divide both sides by 5 to get x = -10.

How do I check the answer?

Replace x by -10: 5(-10) + 7 = -43, which is -43.

Solve 5x + 7 = −43

How to work it out

Trying values of x in 5x + 7 = −43

Questions

Similar equations