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Solve 8x + 12 = 140

The solution of 8x + 12 = 140 is x = 16.

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The lines y = 8x + 12 and y = 140 meet at x = 1610121416182022100120140160180x = 16y = 8x + 12y = 140
The lines y = 8x + 12 and y = 140 meet at x = 16. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    8x+12=1408x + 12 = 140
  2. 2

    Subtract 12 from both sides:

    8x+12−12=140−12 ⇒ 8x=1288x + 12 - 12 = 140 - 12 \ \Rightarrow\ 8x = 128
  3. 3

    Divide both sides by 8:

    8x8=1288 ⇒ x=16\frac{8x}{8} = \frac{128}{8} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    8⋅16+12=128+12=140✓8\cdot16 + 12 = 128 + 12 = 140 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 12 = 140\ \Rightarrow\ x = 16 \]
\[ 8x + 12 = 140 \]
\[ 8x + 12 - 12 = 140 - 12 \ \Rightarrow\ 8x = 128 \]
\[ \frac{8x}{8} = \frac{128}{8} \ \Rightarrow\ x = 16 \]
\[ 8\cdot16 + 12 = 128 + 12 = 140 \checkmark \]

Trying values of x in 8x + 12 = 140

x8x + 12Equals 140?
14124no
15132no
16140yes
17148no
18156no

Questions

What is x in 8x + 12 = 140?

The solution of 8x + 12 = 140 is x = 16.

How do you solve 8x + 12 = 140?

Subtract 12 from both sides to get 8x = 128, then divide both sides by 8 to get x = 16.

How do I check the answer?

Replace x by 16: 8(16) + 12 = 140, which is 140.

Similar equations

    Solve 8x + 12 = 140: x = 16 (steps and check) | WordGPT