Solve 5x + 4 = −46

The solution of 5x + 4 = −46 is x = -10.

5x + 4 = -46\ \Rightarrow\ x = -10

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The lines y = 5x + 4 and y = -46 meet at x = -10. 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.
$5x + 4 = -46$
2
Subtract 4 from both sides:
$5x + 4 - 4 = -46 - 4 \ \Rightarrow\ 5x = -50$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-50}{5} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$5\cdot(-10) + 4 = -50 + 4 = -46 \checkmark$

LaTeX source of the formulas on this page

\[ 5x + 4 = -46\ \Rightarrow\ x = -10 \]
\[ 5x + 4 = -46 \]
\[ 5x + 4 - 4 = -46 - 4 \ \Rightarrow\ 5x = -50 \]
\[ \frac{5x}{5} = \frac{-50}{5} \ \Rightarrow\ x = -10 \]
\[ 5\cdot(-10) + 4 = -50 + 4 = -46 \checkmark \]

Trying values of x in 5x + 4 = −46

x	5x + 4	Equals -46?
-12	-56	no
-11	-51	no
-10	-46	yes
-9	-41	no
-8	-36	no

Questions

What is x in 5x + 4 = −46?

The solution of 5x + 4 = −46 is x = -10.

How do you solve 5x + 4 = −46?

Subtract 4 from both sides to get 5x = -50, then divide both sides by 5 to get x = -10.

How do I check the answer?

Replace x by -10: 5(-10) + 4 = -46, which is -46.

Solve 5x + 4 = −46

How to work it out

Trying values of x in 5x + 4 = −46

Questions

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