Solve 9x + 10 = −62

The solution of 9x + 10 = −62 is x = -8.

9x + 10 = -62\ \Rightarrow\ x = -8

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The lines y = 9x + 10 and y = -62 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.
$9x + 10 = -62$
2
Subtract 10 from both sides:
$9x + 10 - 10 = -62 - 10 \ \Rightarrow\ 9x = -72$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-72}{9} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$9\cdot(-8) + 10 = -72 + 10 = -62 \checkmark$

LaTeX source of the formulas on this page

\[ 9x + 10 = -62\ \Rightarrow\ x = -8 \]
\[ 9x + 10 = -62 \]
\[ 9x + 10 - 10 = -62 - 10 \ \Rightarrow\ 9x = -72 \]
\[ \frac{9x}{9} = \frac{-72}{9} \ \Rightarrow\ x = -8 \]
\[ 9\cdot(-8) + 10 = -72 + 10 = -62 \checkmark \]

Trying values of x in 9x + 10 = −62

x	9x + 10	Equals -62?
-10	-80	no
-9	-71	no
-8	-62	yes
-7	-53	no
-6	-44	no

Questions

What is x in 9x + 10 = −62?

The solution of 9x + 10 = −62 is x = -8.

How do you solve 9x + 10 = −62?

Subtract 10 from both sides to get 9x = -72, then divide both sides by 9 to get x = -8.

How do I check the answer?

Replace x by -8: 9(-8) + 10 = -62, which is -62.

Solve 9x + 10 = −62

How to work it out

Trying values of x in 9x + 10 = −62

Questions

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