Solve 6x + 3 = −3

The solution of 6x + 3 = −3 is x = -1.

6x + 3 = -3\ \Rightarrow\ x = -1

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

LaTeX source of the formulas on this page

\[ 6x + 3 = -3\ \Rightarrow\ x = -1 \]
\[ 6x + 3 = -3 \]
\[ 6x + 3 - 3 = -3 - 3 \ \Rightarrow\ 6x = -6 \]
\[ \frac{6x}{6} = \frac{-6}{6} \ \Rightarrow\ x = -1 \]
\[ 6\cdot(-1) + 3 = -6 + 3 = -3 \checkmark \]

Trying values of x in 6x + 3 = −3

x	6x + 3	Equals -3?
-3	-15	no
-2	-9	no
-1	-3	yes
0	3	no
1	9	no

Questions

What is x in 6x + 3 = −3?

The solution of 6x + 3 = −3 is x = -1.

How do you solve 6x + 3 = −3?

Subtract 3 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) + 3 = -3, which is -3.

Solve 6x + 3 = −3

How to work it out

Trying values of x in 6x + 3 = −3

Questions

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