Solve 7x + 12 = −51

The solution of 7x + 12 = −51 is x = -9.

7x + 12 = -51\ \Rightarrow\ x = -9

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The lines y = 7x + 12 and y = -51 meet at x = -9. 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.
$7x + 12 = -51$
2
Subtract 12 from both sides:
$7x + 12 - 12 = -51 - 12 \ \Rightarrow\ 7x = -63$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-63}{7} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$7\cdot(-9) + 12 = -63 + 12 = -51 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 12 = -51\ \Rightarrow\ x = -9 \]
\[ 7x + 12 = -51 \]
\[ 7x + 12 - 12 = -51 - 12 \ \Rightarrow\ 7x = -63 \]
\[ \frac{7x}{7} = \frac{-63}{7} \ \Rightarrow\ x = -9 \]
\[ 7\cdot(-9) + 12 = -63 + 12 = -51 \checkmark \]

Trying values of x in 7x + 12 = −51

x	7x + 12	Equals -51?
-11	-65	no
-10	-58	no
-9	-51	yes
-8	-44	no
-7	-37	no

Questions

What is x in 7x + 12 = −51?

The solution of 7x + 12 = −51 is x = -9.

How do you solve 7x + 12 = −51?

Subtract 12 from both sides to get 7x = -63, then divide both sides by 7 to get x = -9.

How do I check the answer?

Replace x by -9: 7(-9) + 12 = -51, which is -51.

Solve 7x + 12 = −51

How to work it out

Trying values of x in 7x + 12 = −51

Questions

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