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Solve 10x + 4 = 84

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

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The lines y = 10x + 4 and y = 84 meet at x = 8246810121420406080100120140x = 8y = 10x + 4y = 84
The lines y = 10x + 4 and y = 84 meet at x = 8. 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.

    10x+4=8410x + 4 = 84
  2. 2

    Subtract 4 from both sides:

    10x+4−4=84−4 ⇒ 10x=8010x + 4 - 4 = 84 - 4 \ \Rightarrow\ 10x = 80
  3. 3

    Divide both sides by 10:

    10x10=8010 ⇒ x=8\frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    10⋅8+4=80+4=84✓10\cdot8 + 4 = 80 + 4 = 84 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 4 = 84\ \Rightarrow\ x = 8 \]
\[ 10x + 4 = 84 \]
\[ 10x + 4 - 4 = 84 - 4 \ \Rightarrow\ 10x = 80 \]
\[ \frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8 \]
\[ 10\cdot8 + 4 = 80 + 4 = 84 \checkmark \]

Trying values of x in 10x + 4 = 84

x10x + 4Equals 84?
664no
774no
884yes
994no
10104no

Questions

What is x in 10x + 4 = 84?

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

How do you solve 10x + 4 = 84?

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

How do I check the answer?

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

Similar equations

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