Solve 6x − 3 = −57

The solution of 6x − 3 = −57 is x = -9.

6x - 3 = -57\ \Rightarrow\ x = -9

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The lines y = 6x − 3 and y = -57 meet at x = -9. 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.
$6x - 3 = -57$
2
Add 3 to both sides:
$6x - 3 + 3 = -57 + 3 \ \Rightarrow\ 6x = -54$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-54}{6} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$6\cdot(-9) - 3 = -54 - 3 = -57 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 3 = -57\ \Rightarrow\ x = -9 \]
\[ 6x - 3 = -57 \]
\[ 6x - 3 + 3 = -57 + 3 \ \Rightarrow\ 6x = -54 \]
\[ \frac{6x}{6} = \frac{-54}{6} \ \Rightarrow\ x = -9 \]
\[ 6\cdot(-9) - 3 = -54 - 3 = -57 \checkmark \]

Trying values of x in 6x − 3 = −57

x	6x − 3	Equals -57?
-11	-69	no
-10	-63	no
-9	-57	yes
-8	-51	no
-7	-45	no

Questions

What is x in 6x − 3 = −57?

The solution of 6x − 3 = −57 is x = -9.

How do you solve 6x − 3 = −57?

Add 3 to both sides to get 6x = -54, then divide both sides by 6 to get x = -9.

How do I check the answer?

Replace x by -9: 6(-9) − 3 = -57, which is -57.

Solve 6x − 3 = −57

How to work it out

Trying values of x in 6x − 3 = −57

Questions

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