Solve 6x + 3 = −33

The solution of 6x + 3 = −33 is x = -6.

6x + 3 = -33\ \Rightarrow\ x = -6

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The lines y = 6x + 3 and y = -33 meet at x = -6. 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.
$6x + 3 = -33$
2
Subtract 3 from both sides:
$6x + 3 - 3 = -33 - 3 \ \Rightarrow\ 6x = -36$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-36}{6} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$6\cdot(-6) + 3 = -36 + 3 = -33 \checkmark$

LaTeX source of the formulas on this page

\[ 6x + 3 = -33\ \Rightarrow\ x = -6 \]
\[ 6x + 3 = -33 \]
\[ 6x + 3 - 3 = -33 - 3 \ \Rightarrow\ 6x = -36 \]
\[ \frac{6x}{6} = \frac{-36}{6} \ \Rightarrow\ x = -6 \]
\[ 6\cdot(-6) + 3 = -36 + 3 = -33 \checkmark \]

Trying values of x in 6x + 3 = −33

x	6x + 3	Equals -33?
-8	-45	no
-7	-39	no
-6	-33	yes
-5	-27	no
-4	-21	no

Questions

What is x in 6x + 3 = −33?

The solution of 6x + 3 = −33 is x = -6.

How do you solve 6x + 3 = −33?

Subtract 3 from both sides to get 6x = -36, then divide both sides by 6 to get x = -6.

How do I check the answer?

Replace x by -6: 6(-6) + 3 = -33, which is -33.

Solve 6x + 3 = −33

How to work it out

Trying values of x in 6x + 3 = −33

Questions

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