Solve 5x + 6 = −4

The solution of 5x + 6 = −4 is x = -2.

5x + 6 = -4\ \Rightarrow\ x = -2

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The lines y = 5x + 6 and y = -4 meet at x = -2. 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.
$5x + 6 = -4$
2
Subtract 6 from both sides:
$5x + 6 - 6 = -4 - 6 \ \Rightarrow\ 5x = -10$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-10}{5} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$5\cdot(-2) + 6 = -10 + 6 = -4 \checkmark$

LaTeX source of the formulas on this page

\[ 5x + 6 = -4\ \Rightarrow\ x = -2 \]
\[ 5x + 6 = -4 \]
\[ 5x + 6 - 6 = -4 - 6 \ \Rightarrow\ 5x = -10 \]
\[ \frac{5x}{5} = \frac{-10}{5} \ \Rightarrow\ x = -2 \]
\[ 5\cdot(-2) + 6 = -10 + 6 = -4 \checkmark \]

Trying values of x in 5x + 6 = −4

x	5x + 6	Equals -4?
-4	-14	no
-3	-9	no
-2	-4	yes
-1	1	no
0	6	no

Questions

What is x in 5x + 6 = −4?

The solution of 5x + 6 = −4 is x = -2.

How do you solve 5x + 6 = −4?

Subtract 6 from both sides to get 5x = -10, then divide both sides by 5 to get x = -2.

How do I check the answer?

Replace x by -2: 5(-2) + 6 = -4, which is -4.

Solve 5x + 6 = −4

How to work it out

Trying values of x in 5x + 6 = −4

Questions

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