Solve 5x + 3 = −37

The solution of 5x + 3 = −37 is x = -8.

5x + 3 = -37\ \Rightarrow\ x = -8

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The lines y = 5x + 3 and y = -37 meet at x = -8. 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.
$5x + 3 = -37$
2
Subtract 3 from both sides:
$5x + 3 - 3 = -37 - 3 \ \Rightarrow\ 5x = -40$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-40}{5} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$5\cdot(-8) + 3 = -40 + 3 = -37 \checkmark$

LaTeX source of the formulas on this page

\[ 5x + 3 = -37\ \Rightarrow\ x = -8 \]
\[ 5x + 3 = -37 \]
\[ 5x + 3 - 3 = -37 - 3 \ \Rightarrow\ 5x = -40 \]
\[ \frac{5x}{5} = \frac{-40}{5} \ \Rightarrow\ x = -8 \]
\[ 5\cdot(-8) + 3 = -40 + 3 = -37 \checkmark \]

Trying values of x in 5x + 3 = −37

x	5x + 3	Equals -37?
-10	-47	no
-9	-42	no
-8	-37	yes
-7	-32	no
-6	-27	no

Questions

What is x in 5x + 3 = −37?

The solution of 5x + 3 = −37 is x = -8.

How do you solve 5x + 3 = −37?

Subtract 3 from both sides to get 5x = -40, then divide both sides by 5 to get x = -8.

How do I check the answer?

Replace x by -8: 5(-8) + 3 = -37, which is -37.

Solve 5x + 3 = −37

How to work it out

Trying values of x in 5x + 3 = −37

Questions

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