Solve 5x + 12 = −13

The solution of 5x + 12 = −13 is x = -5.

5x + 12 = -13\ \Rightarrow\ x = -5

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The lines y = 5x + 12 and y = -13 meet at x = -5. 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.
$5x + 12 = -13$
2
Subtract 12 from both sides:
$5x + 12 - 12 = -13 - 12 \ \Rightarrow\ 5x = -25$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-25}{5} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$5\cdot(-5) + 12 = -25 + 12 = -13 \checkmark$

LaTeX source of the formulas on this page

\[ 5x + 12 = -13\ \Rightarrow\ x = -5 \]
\[ 5x + 12 = -13 \]
\[ 5x + 12 - 12 = -13 - 12 \ \Rightarrow\ 5x = -25 \]
\[ \frac{5x}{5} = \frac{-25}{5} \ \Rightarrow\ x = -5 \]
\[ 5\cdot(-5) + 12 = -25 + 12 = -13 \checkmark \]

Trying values of x in 5x + 12 = −13

x	5x + 12	Equals -13?
-7	-23	no
-6	-18	no
-5	-13	yes
-4	-8	no
-3	-3	no

Questions

What is x in 5x + 12 = −13?

The solution of 5x + 12 = −13 is x = -5.

How do you solve 5x + 12 = −13?

Subtract 12 from both sides to get 5x = -25, then divide both sides by 5 to get x = -5.

How do I check the answer?

Replace x by -5: 5(-5) + 12 = -13, which is -13.

Solve 5x + 12 = −13

How to work it out

Trying values of x in 5x + 12 = −13

Questions

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