Solve 5x + 12 = −8

The solution of 5x + 12 = −8 is x = -4.

5x + 12 = -8\ \Rightarrow\ x = -4

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The lines y = 5x + 12 and y = -8 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.
$5x + 12 = -8$
2
Subtract 12 from both sides:
$5x + 12 - 12 = -8 - 12 \ \Rightarrow\ 5x = -20$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-20}{5} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$5\cdot(-4) + 12 = -20 + 12 = -8 \checkmark$

LaTeX source of the formulas on this page

\[ 5x + 12 = -8\ \Rightarrow\ x = -4 \]
\[ 5x + 12 = -8 \]
\[ 5x + 12 - 12 = -8 - 12 \ \Rightarrow\ 5x = -20 \]
\[ \frac{5x}{5} = \frac{-20}{5} \ \Rightarrow\ x = -4 \]
\[ 5\cdot(-4) + 12 = -20 + 12 = -8 \checkmark \]

Trying values of x in 5x + 12 = −8

x	5x + 12	Equals -8?
-6	-18	no
-5	-13	no
-4	-8	yes
-3	-3	no
-2	2	no

Questions

What is x in 5x + 12 = −8?

The solution of 5x + 12 = −8 is x = -4.

How do you solve 5x + 12 = −8?

Subtract 12 from both sides to get 5x = -20, then divide both sides by 5 to get x = -4.

How do I check the answer?

Replace x by -4: 5(-4) + 12 = -8, which is -8.

Solve 5x + 12 = −8

How to work it out

Trying values of x in 5x + 12 = −8

Questions

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