Solve 9x + 10 = −53

The solution of 9x + 10 = −53 is x = -7.

9x + 10 = -53\ \Rightarrow\ x = -7

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The lines y = 9x + 10 and y = -53 meet at x = -7. 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.
$9x + 10 = -53$
2
Subtract 10 from both sides:
$9x + 10 - 10 = -53 - 10 \ \Rightarrow\ 9x = -63$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-63}{9} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$9\cdot(-7) + 10 = -63 + 10 = -53 \checkmark$

LaTeX source of the formulas on this page

\[ 9x + 10 = -53\ \Rightarrow\ x = -7 \]
\[ 9x + 10 = -53 \]
\[ 9x + 10 - 10 = -53 - 10 \ \Rightarrow\ 9x = -63 \]
\[ \frac{9x}{9} = \frac{-63}{9} \ \Rightarrow\ x = -7 \]
\[ 9\cdot(-7) + 10 = -63 + 10 = -53 \checkmark \]

Trying values of x in 9x + 10 = −53

x	9x + 10	Equals -53?
-9	-71	no
-8	-62	no
-7	-53	yes
-6	-44	no
-5	-35	no

Questions

What is x in 9x + 10 = −53?

The solution of 9x + 10 = −53 is x = -7.

How do you solve 9x + 10 = −53?

Subtract 10 from both sides to get 9x = -63, then divide both sides by 9 to get x = -7.

How do I check the answer?

Replace x by -7: 9(-7) + 10 = -53, which is -53.

Solve 9x + 10 = −53

How to work it out

Trying values of x in 9x + 10 = −53

Questions

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