Solve 7x + 10 = −11

The solution of 7x + 10 = −11 is x = -3.

7x + 10 = -11\ \Rightarrow\ x = -3

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The lines y = 7x + 10 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.
$7x + 10 = -11$
2
Subtract 10 from both sides:
$7x + 10 - 10 = -11 - 10 \ \Rightarrow\ 7x = -21$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-21}{7} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$7\cdot(-3) + 10 = -21 + 10 = -11 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 10 = -11\ \Rightarrow\ x = -3 \]
\[ 7x + 10 = -11 \]
\[ 7x + 10 - 10 = -11 - 10 \ \Rightarrow\ 7x = -21 \]
\[ \frac{7x}{7} = \frac{-21}{7} \ \Rightarrow\ x = -3 \]
\[ 7\cdot(-3) + 10 = -21 + 10 = -11 \checkmark \]

Trying values of x in 7x + 10 = −11

x	7x + 10	Equals -11?
-5	-25	no
-4	-18	no
-3	-11	yes
-2	-4	no
-1	3	no

Questions

What is x in 7x + 10 = −11?

The solution of 7x + 10 = −11 is x = -3.

How do you solve 7x + 10 = −11?

Subtract 10 from both sides to get 7x = -21, then divide both sides by 7 to get x = -3.

How do I check the answer?

Replace x by -3: 7(-3) + 10 = -11, which is -11.

Solve 7x + 10 = −11

How to work it out

Trying values of x in 7x + 10 = −11

Questions

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