Solve 7x + 13 = −29

The solution of 7x + 13 = −29 is x = -6.

7x + 13 = -29\ \Rightarrow\ x = -6

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The lines y = 7x + 13 and y = -29 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.
$7x + 13 = -29$
2
Subtract 13 from both sides:
$7x + 13 - 13 = -29 - 13 \ \Rightarrow\ 7x = -42$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-42}{7} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$7\cdot(-6) + 13 = -42 + 13 = -29 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 13 = -29\ \Rightarrow\ x = -6 \]
\[ 7x + 13 = -29 \]
\[ 7x + 13 - 13 = -29 - 13 \ \Rightarrow\ 7x = -42 \]
\[ \frac{7x}{7} = \frac{-42}{7} \ \Rightarrow\ x = -6 \]
\[ 7\cdot(-6) + 13 = -42 + 13 = -29 \checkmark \]

Trying values of x in 7x + 13 = −29

x	7x + 13	Equals -29?
-8	-43	no
-7	-36	no
-6	-29	yes
-5	-22	no
-4	-15	no

Questions

What is x in 7x + 13 = −29?

The solution of 7x + 13 = −29 is x = -6.

How do you solve 7x + 13 = −29?

Subtract 13 from both sides to get 7x = -42, then divide both sides by 7 to get x = -6.

How do I check the answer?

Replace x by -6: 7(-6) + 13 = -29, which is -29.

Solve 7x + 13 = −29

How to work it out

Trying values of x in 7x + 13 = −29

Questions

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