Solve 10x + 3 = −37

The solution of 10x + 3 = −37 is x = -4.

10x + 3 = -37\ \Rightarrow\ x = -4

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The lines y = 10x + 3 and y = -37 meet at x = -4. 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.
$10x + 3 = -37$
2
Subtract 3 from both sides:
$10x + 3 - 3 = -37 - 3 \ \Rightarrow\ 10x = -40$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-40}{10} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$10\cdot(-4) + 3 = -40 + 3 = -37 \checkmark$

LaTeX source of the formulas on this page

\[ 10x + 3 = -37\ \Rightarrow\ x = -4 \]
\[ 10x + 3 = -37 \]
\[ 10x + 3 - 3 = -37 - 3 \ \Rightarrow\ 10x = -40 \]
\[ \frac{10x}{10} = \frac{-40}{10} \ \Rightarrow\ x = -4 \]
\[ 10\cdot(-4) + 3 = -40 + 3 = -37 \checkmark \]

Trying values of x in 10x + 3 = −37

x	10x + 3	Equals -37?
-6	-57	no
-5	-47	no
-4	-37	yes
-3	-27	no
-2	-17	no

Questions

What is x in 10x + 3 = −37?

The solution of 10x + 3 = −37 is x = -4.

How do you solve 10x + 3 = −37?

Subtract 3 from both sides to get 10x = -40, then divide both sides by 10 to get x = -4.

How do I check the answer?

Replace x by -4: 10(-4) + 3 = -37, which is -37.

Solve 10x + 3 = −37

How to work it out

Trying values of x in 10x + 3 = −37

Questions

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