Solve 6x − 3 = −3

The solution of 6x − 3 = −3 is x = 0.

6x - 3 = -3\ \Rightarrow\ x = 0

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The lines y = 6x − 3 and y = -3 meet at x = 0. 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.
$6x - 3 = -3$
2
Add 3 to both sides:
$6x - 3 + 3 = -3 + 3 \ \Rightarrow\ 6x = 0$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{0}{6} \ \Rightarrow\ x = 0$
4
Check: put x = 0 back into the equation.
$6\cdot0 - 3 = 0 - 3 = -3 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 3 = -3\ \Rightarrow\ x = 0 \]
\[ 6x - 3 = -3 \]
\[ 6x - 3 + 3 = -3 + 3 \ \Rightarrow\ 6x = 0 \]
\[ \frac{6x}{6} = \frac{0}{6} \ \Rightarrow\ x = 0 \]
\[ 6\cdot0 - 3 = 0 - 3 = -3 \checkmark \]

Trying values of x in 6x − 3 = −3

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

Questions

What is x in 6x − 3 = −3?

The solution of 6x − 3 = −3 is x = 0.

How do you solve 6x − 3 = −3?

Add 3 to both sides to get 6x = 0, then divide both sides by 6 to get x = 0.

How do I check the answer?

Replace x by 0: 6(0) − 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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