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Solve 8x + 4 = 84

The solution of 8x + 4 = 84 is x = 10.

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The lines y = 8x + 4 and y = 84 meet at x = 1046810121416406080100120140x = 10y = 8x + 4y = 84
The lines y = 8x + 4 and y = 84 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. 1

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

    8x+4=848x + 4 = 84
  2. 2

    Subtract 4 from both sides:

    8x+4−4=84−4 ⇒ 8x=808x + 4 - 4 = 84 - 4 \ \Rightarrow\ 8x = 80
  3. 3

    Divide both sides by 8:

    8x8=808 ⇒ x=10\frac{8x}{8} = \frac{80}{8} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    8⋅10+4=80+4=84✓8\cdot10 + 4 = 80 + 4 = 84 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 4 = 84\ \Rightarrow\ x = 10 \]
\[ 8x + 4 = 84 \]
\[ 8x + 4 - 4 = 84 - 4 \ \Rightarrow\ 8x = 80 \]
\[ \frac{8x}{8} = \frac{80}{8} \ \Rightarrow\ x = 10 \]
\[ 8\cdot10 + 4 = 80 + 4 = 84 \checkmark \]

Trying values of x in 8x + 4 = 84

x8x + 4Equals 84?
868no
976no
1084yes
1192no
12100no

Questions

What is x in 8x + 4 = 84?

The solution of 8x + 4 = 84 is x = 10.

How do you solve 8x + 4 = 84?

Subtract 4 from both sides to get 8x = 80, then divide both sides by 8 to get x = 10.

How do I check the answer?

Replace x by 10: 8(10) + 4 = 84, which is 84.

Similar equations

    Solve 8x + 4 = 84: x = 10 (steps and check) | WordGPT