Solve 5x − 11 = −46

The solution of 5x − 11 = −46 is x = -7.

5x - 11 = -46\ \Rightarrow\ x = -7

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The lines y = 5x − 11 and y = -46 meet at x = -7. 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 subtraction, then the multiplication.
$5x - 11 = -46$
2
Add 11 to both sides:
$5x - 11 + 11 = -46 + 11 \ \Rightarrow\ 5x = -35$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-35}{5} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$5\cdot(-7) - 11 = -35 - 11 = -46 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 11 = -46\ \Rightarrow\ x = -7 \]
\[ 5x - 11 = -46 \]
\[ 5x - 11 + 11 = -46 + 11 \ \Rightarrow\ 5x = -35 \]
\[ \frac{5x}{5} = \frac{-35}{5} \ \Rightarrow\ x = -7 \]
\[ 5\cdot(-7) - 11 = -35 - 11 = -46 \checkmark \]

Trying values of x in 5x − 11 = −46

x	5x − 11	Equals -46?
-9	-56	no
-8	-51	no
-7	-46	yes
-6	-41	no
-5	-36	no

Questions

What is x in 5x − 11 = −46?

The solution of 5x − 11 = −46 is x = -7.

How do you solve 5x − 11 = −46?

Add 11 to both sides to get 5x = -35, then divide both sides by 5 to get x = -7.

How do I check the answer?

Replace x by -7: 5(-7) − 11 = -46, which is -46.

Solve 5x − 11 = −46

How to work it out

Trying values of x in 5x − 11 = −46

Questions

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