Solve 6x − 14 = −32

The solution of 6x − 14 = −32 is x = -3.

6x - 14 = -32\ \Rightarrow\ x = -3

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The lines y = 6x − 14 and y = -32 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 subtraction, then the multiplication.
$6x - 14 = -32$
2
Add 14 to both sides:
$6x - 14 + 14 = -32 + 14 \ \Rightarrow\ 6x = -18$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-18}{6} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$6\cdot(-3) - 14 = -18 - 14 = -32 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 14 = -32\ \Rightarrow\ x = -3 \]
\[ 6x - 14 = -32 \]
\[ 6x - 14 + 14 = -32 + 14 \ \Rightarrow\ 6x = -18 \]
\[ \frac{6x}{6} = \frac{-18}{6} \ \Rightarrow\ x = -3 \]
\[ 6\cdot(-3) - 14 = -18 - 14 = -32 \checkmark \]

Trying values of x in 6x − 14 = −32

x	6x − 14	Equals -32?
-5	-44	no
-4	-38	no
-3	-32	yes
-2	-26	no
-1	-20	no

Questions

What is x in 6x − 14 = −32?

The solution of 6x − 14 = −32 is x = -3.

How do you solve 6x − 14 = −32?

Add 14 to both sides to get 6x = -18, then divide both sides by 6 to get x = -3.

How do I check the answer?

Replace x by -3: 6(-3) − 14 = -32, which is -32.

Solve 6x − 14 = −32

How to work it out

Trying values of x in 6x − 14 = −32

Questions

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