Solve 12x + 13 = −83

The solution of 12x + 13 = −83 is x = -8.

12x + 13 = -83\ \Rightarrow\ x = -8

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The lines y = 12x + 13 and y = -83 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.
$12x + 13 = -83$
2
Subtract 13 from both sides:
$12x + 13 - 13 = -83 - 13 \ \Rightarrow\ 12x = -96$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-96}{12} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$12\cdot(-8) + 13 = -96 + 13 = -83 \checkmark$

LaTeX source of the formulas on this page

\[ 12x + 13 = -83\ \Rightarrow\ x = -8 \]
\[ 12x + 13 = -83 \]
\[ 12x + 13 - 13 = -83 - 13 \ \Rightarrow\ 12x = -96 \]
\[ \frac{12x}{12} = \frac{-96}{12} \ \Rightarrow\ x = -8 \]
\[ 12\cdot(-8) + 13 = -96 + 13 = -83 \checkmark \]

Trying values of x in 12x + 13 = −83

x	12x + 13	Equals -83?
-10	-107	no
-9	-95	no
-8	-83	yes
-7	-71	no
-6	-59	no

Questions

What is x in 12x + 13 = −83?

The solution of 12x + 13 = −83 is x = -8.

How do you solve 12x + 13 = −83?

Subtract 13 from both sides to get 12x = -96, then divide both sides by 12 to get x = -8.

How do I check the answer?

Replace x by -8: 12(-8) + 13 = -83, which is -83.

Solve 12x + 13 = −83

How to work it out

Trying values of x in 12x + 13 = −83

Questions

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