Solve 12x + 7 = −77

The solution of 12x + 7 = −77 is x = -7.

12x + 7 = -77\ \Rightarrow\ x = -7

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The lines y = 12x + 7 and y = -77 meet at x = -7. 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.
$12x + 7 = -77$
2
Subtract 7 from both sides:
$12x + 7 - 7 = -77 - 7 \ \Rightarrow\ 12x = -84$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-84}{12} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$12\cdot(-7) + 7 = -84 + 7 = -77 \checkmark$

LaTeX source of the formulas on this page

\[ 12x + 7 = -77\ \Rightarrow\ x = -7 \]
\[ 12x + 7 = -77 \]
\[ 12x + 7 - 7 = -77 - 7 \ \Rightarrow\ 12x = -84 \]
\[ \frac{12x}{12} = \frac{-84}{12} \ \Rightarrow\ x = -7 \]
\[ 12\cdot(-7) + 7 = -84 + 7 = -77 \checkmark \]

Trying values of x in 12x + 7 = −77

x	12x + 7	Equals -77?
-9	-101	no
-8	-89	no
-7	-77	yes
-6	-65	no
-5	-53	no

Questions

What is x in 12x + 7 = −77?

The solution of 12x + 7 = −77 is x = -7.

How do you solve 12x + 7 = −77?

Subtract 7 from both sides to get 12x = -84, then divide both sides by 12 to get x = -7.

How do I check the answer?

Replace x by -7: 12(-7) + 7 = -77, which is -77.

Solve 12x + 7 = −77

How to work it out

Trying values of x in 12x + 7 = −77

Questions

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