Solve 9x + 7 = −29

The solution of 9x + 7 = −29 is x = -4.

9x + 7 = -29\ \Rightarrow\ x = -4

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The lines y = 9x + 7 and y = -29 meet at x = -4. 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.
$9x + 7 = -29$
2
Subtract 7 from both sides:
$9x + 7 - 7 = -29 - 7 \ \Rightarrow\ 9x = -36$
3
Divide both sides by 9:
$\frac{9x}{9} = \frac{-36}{9} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$9\cdot(-4) + 7 = -36 + 7 = -29 \checkmark$

LaTeX source of the formulas on this page

\[ 9x + 7 = -29\ \Rightarrow\ x = -4 \]
\[ 9x + 7 = -29 \]
\[ 9x + 7 - 7 = -29 - 7 \ \Rightarrow\ 9x = -36 \]
\[ \frac{9x}{9} = \frac{-36}{9} \ \Rightarrow\ x = -4 \]
\[ 9\cdot(-4) + 7 = -36 + 7 = -29 \checkmark \]

Trying values of x in 9x + 7 = −29

x	9x + 7	Equals -29?
-6	-47	no
-5	-38	no
-4	-29	yes
-3	-20	no
-2	-11	no

Questions

What is x in 9x + 7 = −29?

The solution of 9x + 7 = −29 is x = -4.

How do you solve 9x + 7 = −29?

Subtract 7 from both sides to get 9x = -36, then divide both sides by 9 to get x = -4.

How do I check the answer?

Replace x by -4: 9(-4) + 7 = -29, which is -29.

Solve 9x + 7 = −29

How to work it out

Trying values of x in 9x + 7 = −29

Questions

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