Solve 6x + 5 = −13

The solution of 6x + 5 = −13 is x = -3.

6x + 5 = -13\ \Rightarrow\ x = -3

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The lines y = 6x + 5 and y = -13 meet at x = -3. 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.
$6x + 5 = -13$
2
Subtract 5 from both sides:
$6x + 5 - 5 = -13 - 5 \ \Rightarrow\ 6x = -18$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-18}{6} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$6\cdot(-3) + 5 = -18 + 5 = -13 \checkmark$

LaTeX source of the formulas on this page

\[ 6x + 5 = -13\ \Rightarrow\ x = -3 \]
\[ 6x + 5 = -13 \]
\[ 6x + 5 - 5 = -13 - 5 \ \Rightarrow\ 6x = -18 \]
\[ \frac{6x}{6} = \frac{-18}{6} \ \Rightarrow\ x = -3 \]
\[ 6\cdot(-3) + 5 = -18 + 5 = -13 \checkmark \]

Trying values of x in 6x + 5 = −13

x	6x + 5	Equals -13?
-5	-25	no
-4	-19	no
-3	-13	yes
-2	-7	no
-1	-1	no

Questions

What is x in 6x + 5 = −13?

The solution of 6x + 5 = −13 is x = -3.

How do you solve 6x + 5 = −13?

Subtract 5 from both sides to get 6x = -18, then divide both sides by 6 to get x = -3.

How do I check the answer?

Replace x by -3: 6(-3) + 5 = -13, which is -13.

Solve 6x + 5 = −13

How to work it out

Trying values of x in 6x + 5 = −13

Questions

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