Solve 7x + 12 = −30

The solution of 7x + 12 = −30 is x = -6.

7x + 12 = -30\ \Rightarrow\ x = -6

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The lines y = 7x + 12 and y = -30 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.
$7x + 12 = -30$
2
Subtract 12 from both sides:
$7x + 12 - 12 = -30 - 12 \ \Rightarrow\ 7x = -42$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-42}{7} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$7\cdot(-6) + 12 = -42 + 12 = -30 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 12 = -30\ \Rightarrow\ x = -6 \]
\[ 7x + 12 = -30 \]
\[ 7x + 12 - 12 = -30 - 12 \ \Rightarrow\ 7x = -42 \]
\[ \frac{7x}{7} = \frac{-42}{7} \ \Rightarrow\ x = -6 \]
\[ 7\cdot(-6) + 12 = -42 + 12 = -30 \checkmark \]

Trying values of x in 7x + 12 = −30

x	7x + 12	Equals -30?
-8	-44	no
-7	-37	no
-6	-30	yes
-5	-23	no
-4	-16	no

Questions

What is x in 7x + 12 = −30?

The solution of 7x + 12 = −30 is x = -6.

How do you solve 7x + 12 = −30?

Subtract 12 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) + 12 = -30, which is -30.

Solve 7x + 12 = −30

How to work it out

Trying values of x in 7x + 12 = −30

Questions

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