Solve 6x + 11 = −13

The solution of 6x + 11 = −13 is x = -4.

6x + 11 = -13\ \Rightarrow\ x = -4

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The lines y = 6x + 11 and y = -13 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.
$6x + 11 = -13$
2
Subtract 11 from both sides:
$6x + 11 - 11 = -13 - 11 \ \Rightarrow\ 6x = -24$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-24}{6} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$6\cdot(-4) + 11 = -24 + 11 = -13 \checkmark$

LaTeX source of the formulas on this page

\[ 6x + 11 = -13\ \Rightarrow\ x = -4 \]
\[ 6x + 11 = -13 \]
\[ 6x + 11 - 11 = -13 - 11 \ \Rightarrow\ 6x = -24 \]
\[ \frac{6x}{6} = \frac{-24}{6} \ \Rightarrow\ x = -4 \]
\[ 6\cdot(-4) + 11 = -24 + 11 = -13 \checkmark \]

Trying values of x in 6x + 11 = −13

x	6x + 11	Equals -13?
-6	-25	no
-5	-19	no
-4	-13	yes
-3	-7	no
-2	-1	no

Questions

What is x in 6x + 11 = −13?

The solution of 6x + 11 = −13 is x = -4.

How do you solve 6x + 11 = −13?

Subtract 11 from both sides to get 6x = -24, then divide both sides by 6 to get x = -4.

How do I check the answer?

Replace x by -4: 6(-4) + 11 = -13, which is -13.

Solve 6x + 11 = −13

How to work it out

Trying values of x in 6x + 11 = −13

Questions

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