Solve 6x + 7 = −23

The solution of 6x + 7 = −23 is x = -5.

6x + 7 = -23\ \Rightarrow\ x = -5

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The lines y = 6x + 7 and y = -23 meet at x = -5. 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.
$6x + 7 = -23$
2
Subtract 7 from both sides:
$6x + 7 - 7 = -23 - 7 \ \Rightarrow\ 6x = -30$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-30}{6} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$6\cdot(-5) + 7 = -30 + 7 = -23 \checkmark$

LaTeX source of the formulas on this page

\[ 6x + 7 = -23\ \Rightarrow\ x = -5 \]
\[ 6x + 7 = -23 \]
\[ 6x + 7 - 7 = -23 - 7 \ \Rightarrow\ 6x = -30 \]
\[ \frac{6x}{6} = \frac{-30}{6} \ \Rightarrow\ x = -5 \]
\[ 6\cdot(-5) + 7 = -30 + 7 = -23 \checkmark \]

Trying values of x in 6x + 7 = −23

x	6x + 7	Equals -23?
-7	-35	no
-6	-29	no
-5	-23	yes
-4	-17	no
-3	-11	no

Questions

What is x in 6x + 7 = −23?

The solution of 6x + 7 = −23 is x = -5.

How do you solve 6x + 7 = −23?

Subtract 7 from both sides to get 6x = -30, then divide both sides by 6 to get x = -5.

How do I check the answer?

Replace x by -5: 6(-5) + 7 = -23, which is -23.

Solve 6x + 7 = −23

How to work it out

Trying values of x in 6x + 7 = −23

Questions

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