Solve 10x + 3 = −97

The solution of 10x + 3 = −97 is x = -10.

10x + 3 = -97\ \Rightarrow\ x = -10

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The lines y = 10x + 3 and y = -97 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.
$10x + 3 = -97$
2
Subtract 3 from both sides:
$10x + 3 - 3 = -97 - 3 \ \Rightarrow\ 10x = -100$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-100}{10} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$10\cdot(-10) + 3 = -100 + 3 = -97 \checkmark$

LaTeX source of the formulas on this page

\[ 10x + 3 = -97\ \Rightarrow\ x = -10 \]
\[ 10x + 3 = -97 \]
\[ 10x + 3 - 3 = -97 - 3 \ \Rightarrow\ 10x = -100 \]
\[ \frac{10x}{10} = \frac{-100}{10} \ \Rightarrow\ x = -10 \]
\[ 10\cdot(-10) + 3 = -100 + 3 = -97 \checkmark \]

Trying values of x in 10x + 3 = −97

x	10x + 3	Equals -97?
-12	-117	no
-11	-107	no
-10	-97	yes
-9	-87	no
-8	-77	no

Questions

What is x in 10x + 3 = −97?

The solution of 10x + 3 = −97 is x = -10.

How do you solve 10x + 3 = −97?

Subtract 3 from both sides to get 10x = -100, then divide both sides by 10 to get x = -10.

How do I check the answer?

Replace x by -10: 10(-10) + 3 = -97, which is -97.

Solve 10x + 3 = −97

How to work it out

Trying values of x in 10x + 3 = −97

Questions

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