Solve 6x + 7 = −11

The solution of 6x + 7 = −11 is x = -3.

6x + 7 = -11\ \Rightarrow\ x = -3

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The lines y = 6x + 7 and y = -11 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.
$6x + 7 = -11$
2
Subtract 7 from both sides:
$6x + 7 - 7 = -11 - 7 \ \Rightarrow\ 6x = -18$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-18}{6} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$6\cdot(-3) + 7 = -18 + 7 = -11 \checkmark$

LaTeX source of the formulas on this page

\[ 6x + 7 = -11\ \Rightarrow\ x = -3 \]
\[ 6x + 7 = -11 \]
\[ 6x + 7 - 7 = -11 - 7 \ \Rightarrow\ 6x = -18 \]
\[ \frac{6x}{6} = \frac{-18}{6} \ \Rightarrow\ x = -3 \]
\[ 6\cdot(-3) + 7 = -18 + 7 = -11 \checkmark \]

Trying values of x in 6x + 7 = −11

x	6x + 7	Equals -11?
-5	-23	no
-4	-17	no
-3	-11	yes
-2	-5	no
-1	1	no

Questions

What is x in 6x + 7 = −11?

The solution of 6x + 7 = −11 is x = -3.

How do you solve 6x + 7 = −11?

Subtract 7 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) + 7 = -11, which is -11.

Solve 6x + 7 = −11

How to work it out

Trying values of x in 6x + 7 = −11

Questions

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