Solve 6x + 4 = −56

The solution of 6x + 4 = −56 is x = -10.

6x + 4 = -56\ \Rightarrow\ x = -10

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The lines y = 6x + 4 and y = -56 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.
$6x + 4 = -56$
2
Subtract 4 from both sides:
$6x + 4 - 4 = -56 - 4 \ \Rightarrow\ 6x = -60$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-60}{6} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$6\cdot(-10) + 4 = -60 + 4 = -56 \checkmark$

LaTeX source of the formulas on this page

\[ 6x + 4 = -56\ \Rightarrow\ x = -10 \]
\[ 6x + 4 = -56 \]
\[ 6x + 4 - 4 = -56 - 4 \ \Rightarrow\ 6x = -60 \]
\[ \frac{6x}{6} = \frac{-60}{6} \ \Rightarrow\ x = -10 \]
\[ 6\cdot(-10) + 4 = -60 + 4 = -56 \checkmark \]

Trying values of x in 6x + 4 = −56

x	6x + 4	Equals -56?
-12	-68	no
-11	-62	no
-10	-56	yes
-9	-50	no
-8	-44	no

Questions

What is x in 6x + 4 = −56?

The solution of 6x + 4 = −56 is x = -10.

How do you solve 6x + 4 = −56?

Subtract 4 from both sides to get 6x = -60, then divide both sides by 6 to get x = -10.

How do I check the answer?

Replace x by -10: 6(-10) + 4 = -56, which is -56.

Solve 6x + 4 = −56

How to work it out

Trying values of x in 6x + 4 = −56

Questions

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