Solve 9x + 7 = −56

The solution of 9x + 7 = −56 is x = -7.

9x + 7 = -56\ \Rightarrow\ x = -7

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The lines y = 9x + 7 and y = -56 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.
$9x + 7 = -56$
2
Subtract 7 from both sides:
$9x + 7 - 7 = -56 - 7 \ \Rightarrow\ 9x = -63$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-63}{9} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$9\cdot(-7) + 7 = -63 + 7 = -56 \checkmark$

LaTeX source of the formulas on this page

\[ 9x + 7 = -56\ \Rightarrow\ x = -7 \]
\[ 9x + 7 = -56 \]
\[ 9x + 7 - 7 = -56 - 7 \ \Rightarrow\ 9x = -63 \]
\[ \frac{9x}{9} = \frac{-63}{9} \ \Rightarrow\ x = -7 \]
\[ 9\cdot(-7) + 7 = -63 + 7 = -56 \checkmark \]

Trying values of x in 9x + 7 = −56

x	9x + 7	Equals -56?
-9	-74	no
-8	-65	no
-7	-56	yes
-6	-47	no
-5	-38	no

Questions

What is x in 9x + 7 = −56?

The solution of 9x + 7 = −56 is x = -7.

How do you solve 9x + 7 = −56?

Subtract 7 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) + 7 = -56, which is -56.

Solve 9x + 7 = −56

How to work it out

Trying values of x in 9x + 7 = −56

Questions

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