Solve 4x + 6 = −6

The solution of 4x + 6 = −6 is x = -3.

4x + 6 = -6\ \Rightarrow\ x = -3

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The lines y = 4x + 6 and y = -6 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.
$4x + 6 = -6$
2
Subtract 6 from both sides:
$4x + 6 - 6 = -6 - 6 \ \Rightarrow\ 4x = -12$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{-12}{4} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$4\cdot(-3) + 6 = -12 + 6 = -6 \checkmark$

LaTeX source of the formulas on this page

\[ 4x + 6 = -6\ \Rightarrow\ x = -3 \]
\[ 4x + 6 = -6 \]
\[ 4x + 6 - 6 = -6 - 6 \ \Rightarrow\ 4x = -12 \]
\[ \frac{4x}{4} = \frac{-12}{4} \ \Rightarrow\ x = -3 \]
\[ 4\cdot(-3) + 6 = -12 + 6 = -6 \checkmark \]

Trying values of x in 4x + 6 = −6

x	4x + 6	Equals -6?
-5	-14	no
-4	-10	no
-3	-6	yes
-2	-2	no
-1	2	no

Questions

What is x in 4x + 6 = −6?

The solution of 4x + 6 = −6 is x = -3.

How do you solve 4x + 6 = −6?

Subtract 6 from both sides to get 4x = -12, then divide both sides by 4 to get x = -3.

How do I check the answer?

Replace x by -3: 4(-3) + 6 = -6, which is -6.

Solve 4x + 6 = −6

How to work it out

Trying values of x in 4x + 6 = −6

Questions

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