Solve 9x + 8 = −46

The solution of 9x + 8 = −46 is x = -6.

9x + 8 = -46\ \Rightarrow\ x = -6

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The lines y = 9x + 8 and y = -46 meet at x = -6. 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.
$9x + 8 = -46$
2
Subtract 8 from both sides:
$9x + 8 - 8 = -46 - 8 \ \Rightarrow\ 9x = -54$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-54}{9} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$9\cdot(-6) + 8 = -54 + 8 = -46 \checkmark$

LaTeX source of the formulas on this page

\[ 9x + 8 = -46\ \Rightarrow\ x = -6 \]
\[ 9x + 8 = -46 \]
\[ 9x + 8 - 8 = -46 - 8 \ \Rightarrow\ 9x = -54 \]
\[ \frac{9x}{9} = \frac{-54}{9} \ \Rightarrow\ x = -6 \]
\[ 9\cdot(-6) + 8 = -54 + 8 = -46 \checkmark \]

Trying values of x in 9x + 8 = −46

x	9x + 8	Equals -46?
-8	-64	no
-7	-55	no
-6	-46	yes
-5	-37	no
-4	-28	no

Questions

What is x in 9x + 8 = −46?

The solution of 9x + 8 = −46 is x = -6.

How do you solve 9x + 8 = −46?

Subtract 8 from both sides to get 9x = -54, then divide both sides by 9 to get x = -6.

How do I check the answer?

Replace x by -6: 9(-6) + 8 = -46, which is -46.

Solve 9x + 8 = −46

How to work it out

Trying values of x in 9x + 8 = −46

Questions

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