Solve 7x + 5 = −51

The solution of 7x + 5 = −51 is x = -8.

7x + 5 = -51\ \Rightarrow\ x = -8

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The lines y = 7x + 5 and y = -51 meet at x = -8. 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.
$7x + 5 = -51$
2
Subtract 5 from both sides:
$7x + 5 - 5 = -51 - 5 \ \Rightarrow\ 7x = -56$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-56}{7} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$7\cdot(-8) + 5 = -56 + 5 = -51 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 5 = -51\ \Rightarrow\ x = -8 \]
\[ 7x + 5 = -51 \]
\[ 7x + 5 - 5 = -51 - 5 \ \Rightarrow\ 7x = -56 \]
\[ \frac{7x}{7} = \frac{-56}{7} \ \Rightarrow\ x = -8 \]
\[ 7\cdot(-8) + 5 = -56 + 5 = -51 \checkmark \]

Trying values of x in 7x + 5 = −51

x	7x + 5	Equals -51?
-10	-65	no
-9	-58	no
-8	-51	yes
-7	-44	no
-6	-37	no

Questions

What is x in 7x + 5 = −51?

The solution of 7x + 5 = −51 is x = -8.

How do you solve 7x + 5 = −51?

Subtract 5 from both sides to get 7x = -56, then divide both sides by 7 to get x = -8.

How do I check the answer?

Replace x by -8: 7(-8) + 5 = -51, which is -51.

Solve 7x + 5 = −51

How to work it out

Trying values of x in 7x + 5 = −51

Questions

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