Solve 10x − 12 = 128

The solution of 10x − 12 = 128 is x = 14.

10x - 12 = 128\ \Rightarrow\ x = 14

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The lines y = 10x − 12 and y = 128 meet at x = 14. 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 subtraction, then the multiplication.
$10x - 12 = 128$
2
Add 12 to both sides:
$10x - 12 + 12 = 128 + 12 \ \Rightarrow\ 10x = 140$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{140}{10} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$10\cdot14 - 12 = 140 - 12 = 128 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 12 = 128\ \Rightarrow\ x = 14 \]
\[ 10x - 12 = 128 \]
\[ 10x - 12 + 12 = 128 + 12 \ \Rightarrow\ 10x = 140 \]
\[ \frac{10x}{10} = \frac{140}{10} \ \Rightarrow\ x = 14 \]
\[ 10\cdot14 - 12 = 140 - 12 = 128 \checkmark \]

Trying values of x in 10x − 12 = 128

x	10x − 12	Equals 128?
12	108	no
13	118	no
14	128	yes
15	138	no
16	148	no

Questions

What is x in 10x − 12 = 128?

The solution of 10x − 12 = 128 is x = 14.

How do you solve 10x − 12 = 128?

Add 12 to both sides to get 10x = 140, then divide both sides by 10 to get x = 14.

How do I check the answer?

Replace x by 14: 10(14) − 12 = 128, which is 128.

Solve 10x − 12 = 128

How to work it out

Trying values of x in 10x − 12 = 128

Questions

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