Solve 7x + 12 = −58

The solution of 7x + 12 = −58 is x = -10.

7x + 12 = -58\ \Rightarrow\ x = -10

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The lines y = 7x + 12 and y = -58 meet at x = -10. 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.
$7x + 12 = -58$
2
Subtract 12 from both sides:
$7x + 12 - 12 = -58 - 12 \ \Rightarrow\ 7x = -70$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-70}{7} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$7\cdot(-10) + 12 = -70 + 12 = -58 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 12 = -58\ \Rightarrow\ x = -10 \]
\[ 7x + 12 = -58 \]
\[ 7x + 12 - 12 = -58 - 12 \ \Rightarrow\ 7x = -70 \]
\[ \frac{7x}{7} = \frac{-70}{7} \ \Rightarrow\ x = -10 \]
\[ 7\cdot(-10) + 12 = -70 + 12 = -58 \checkmark \]

Trying values of x in 7x + 12 = −58

x	7x + 12	Equals -58?
-12	-72	no
-11	-65	no
-10	-58	yes
-9	-51	no
-8	-44	no

Questions

What is x in 7x + 12 = −58?

The solution of 7x + 12 = −58 is x = -10.

How do you solve 7x + 12 = −58?

Subtract 12 from both sides to get 7x = -70, then divide both sides by 7 to get x = -10.

How do I check the answer?

Replace x by -10: 7(-10) + 12 = -58, which is -58.

Solve 7x + 12 = −58

How to work it out

Trying values of x in 7x + 12 = −58

Questions

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