Solve 12x + 13 = −35

The solution of 12x + 13 = −35 is x = -4.

12x + 13 = -35\ \Rightarrow\ x = -4

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The lines y = 12x + 13 and y = -35 meet at x = -4. 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.
$12x + 13 = -35$
2
Subtract 13 from both sides:
$12x + 13 - 13 = -35 - 13 \ \Rightarrow\ 12x = -48$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-48}{12} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$12\cdot(-4) + 13 = -48 + 13 = -35 \checkmark$

LaTeX source of the formulas on this page

\[ 12x + 13 = -35\ \Rightarrow\ x = -4 \]
\[ 12x + 13 = -35 \]
\[ 12x + 13 - 13 = -35 - 13 \ \Rightarrow\ 12x = -48 \]
\[ \frac{12x}{12} = \frac{-48}{12} \ \Rightarrow\ x = -4 \]
\[ 12\cdot(-4) + 13 = -48 + 13 = -35 \checkmark \]

Trying values of x in 12x + 13 = −35

x	12x + 13	Equals -35?
-6	-59	no
-5	-47	no
-4	-35	yes
-3	-23	no
-2	-11	no

Questions

What is x in 12x + 13 = −35?

The solution of 12x + 13 = −35 is x = -4.

How do you solve 12x + 13 = −35?

Subtract 13 from both sides to get 12x = -48, then divide both sides by 12 to get x = -4.

How do I check the answer?

Replace x by -4: 12(-4) + 13 = -35, which is -35.

Solve 12x + 13 = −35

How to work it out

Trying values of x in 12x + 13 = −35

Questions

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