Solve 6x + 2 = −10

The solution of 6x + 2 = −10 is x = -2.

6x + 2 = -10\ \Rightarrow\ x = -2

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The lines y = 6x + 2 and y = -10 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.
$6x + 2 = -10$
2
Subtract 2 from both sides:
$6x + 2 - 2 = -10 - 2 \ \Rightarrow\ 6x = -12$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-12}{6} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$6\cdot(-2) + 2 = -12 + 2 = -10 \checkmark$

LaTeX source of the formulas on this page

\[ 6x + 2 = -10\ \Rightarrow\ x = -2 \]
\[ 6x + 2 = -10 \]
\[ 6x + 2 - 2 = -10 - 2 \ \Rightarrow\ 6x = -12 \]
\[ \frac{6x}{6} = \frac{-12}{6} \ \Rightarrow\ x = -2 \]
\[ 6\cdot(-2) + 2 = -12 + 2 = -10 \checkmark \]

Trying values of x in 6x + 2 = −10

x	6x + 2	Equals -10?
-4	-22	no
-3	-16	no
-2	-10	yes
-1	-4	no
0	2	no

Questions

What is x in 6x + 2 = −10?

The solution of 6x + 2 = −10 is x = -2.

How do you solve 6x + 2 = −10?

Subtract 2 from both sides to get 6x = -12, then divide both sides by 6 to get x = -2.

How do I check the answer?

Replace x by -2: 6(-2) + 2 = -10, which is -10.

Solve 6x + 2 = −10

How to work it out

Trying values of x in 6x + 2 = −10

Questions

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