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Solve 8x + 12 = 100

The solution of 8x + 12 = 100 is x = 11.

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The lines y = 8x + 12 and y = 100 meet at x = 1168101214166080100120140x = 11y = 8x + 12y = 100
The lines y = 8x + 12 and y = 100 meet at x = 11. 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=1008x + 12 = 100
  2. 2

    Subtract 12 from both sides:

    8x+12−12=100−12 ⇒ 8x=888x + 12 - 12 = 100 - 12 \ \Rightarrow\ 8x = 88
  3. 3

    Divide both sides by 8:

    8x8=888 ⇒ x=11\frac{8x}{8} = \frac{88}{8} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    8⋅11+12=88+12=100✓8\cdot11 + 12 = 88 + 12 = 100 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 12 = 100\ \Rightarrow\ x = 11 \]
\[ 8x + 12 = 100 \]
\[ 8x + 12 - 12 = 100 - 12 \ \Rightarrow\ 8x = 88 \]
\[ \frac{8x}{8} = \frac{88}{8} \ \Rightarrow\ x = 11 \]
\[ 8\cdot11 + 12 = 88 + 12 = 100 \checkmark \]

Trying values of x in 8x + 12 = 100

x8x + 12Equals 100?
984no
1092no
11100yes
12108no
13116no

Questions

What is x in 8x + 12 = 100?

The solution of 8x + 12 = 100 is x = 11.

How do you solve 8x + 12 = 100?

Subtract 12 from both sides to get 8x = 88, then divide both sides by 8 to get x = 11.

How do I check the answer?

Replace x by 11: 8(11) + 12 = 100, which is 100.

Similar equations

    Solve 8x + 12 = 100: x = 11 (steps and check) | WordGPT