Solve 12x + 3 = −117

The solution of 12x + 3 = −117 is x = -10.

12x + 3 = -117\ \Rightarrow\ x = -10

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The lines y = 12x + 3 and y = -117 meet at x = -10. 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.
$12x + 3 = -117$
2
Subtract 3 from both sides:
$12x + 3 - 3 = -117 - 3 \ \Rightarrow\ 12x = -120$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-120}{12} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$12\cdot(-10) + 3 = -120 + 3 = -117 \checkmark$

LaTeX source of the formulas on this page

\[ 12x + 3 = -117\ \Rightarrow\ x = -10 \]
\[ 12x + 3 = -117 \]
\[ 12x + 3 - 3 = -117 - 3 \ \Rightarrow\ 12x = -120 \]
\[ \frac{12x}{12} = \frac{-120}{12} \ \Rightarrow\ x = -10 \]
\[ 12\cdot(-10) + 3 = -120 + 3 = -117 \checkmark \]

Trying values of x in 12x + 3 = −117

x	12x + 3	Equals -117?
-12	-141	no
-11	-129	no
-10	-117	yes
-9	-105	no
-8	-93	no

Questions

What is x in 12x + 3 = −117?

The solution of 12x + 3 = −117 is x = -10.

How do you solve 12x + 3 = −117?

Subtract 3 from both sides to get 12x = -120, then divide both sides by 12 to get x = -10.

How do I check the answer?

Replace x by -10: 12(-10) + 3 = -117, which is -117.

Solve 12x + 3 = −117

How to work it out

Trying values of x in 12x + 3 = −117

Questions

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