Solve 6x + 2 = −4

The solution of 6x + 2 = −4 is x = -1.

6x + 2 = -4\ \Rightarrow\ x = -1

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The lines y = 6x + 2 and y = -4 meet at x = -1. 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.
$6x + 2 = -4$
2
Subtract 2 from both sides:
$6x + 2 - 2 = -4 - 2 \ \Rightarrow\ 6x = -6$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-6}{6} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$6\cdot(-1) + 2 = -6 + 2 = -4 \checkmark$

LaTeX source of the formulas on this page

\[ 6x + 2 = -4\ \Rightarrow\ x = -1 \]
\[ 6x + 2 = -4 \]
\[ 6x + 2 - 2 = -4 - 2 \ \Rightarrow\ 6x = -6 \]
\[ \frac{6x}{6} = \frac{-6}{6} \ \Rightarrow\ x = -1 \]
\[ 6\cdot(-1) + 2 = -6 + 2 = -4 \checkmark \]

Trying values of x in 6x + 2 = −4

x	6x + 2	Equals -4?
-3	-16	no
-2	-10	no
-1	-4	yes
0	2	no
1	8	no

Questions

What is x in 6x + 2 = −4?

The solution of 6x + 2 = −4 is x = -1.

How do you solve 6x + 2 = −4?

Subtract 2 from both sides to get 6x = -6, then divide both sides by 6 to get x = -1.

How do I check the answer?

Replace x by -1: 6(-1) + 2 = -4, which is -4.

Solve 6x + 2 = −4

How to work it out

Trying values of x in 6x + 2 = −4

Questions

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