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Solve 10x + 4 = 164

The solution of 10x + 4 = 164 is x = 16.

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The lines y = 10x + 4 and y = 164 meet at x = 1610121416182022100120140160180200220x = 16y = 10x + 4y = 164
The lines y = 10x + 4 and y = 164 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.

    10x+4=16410x + 4 = 164
  2. 2

    Subtract 4 from both sides:

    10x+4−4=164−4 ⇒ 10x=16010x + 4 - 4 = 164 - 4 \ \Rightarrow\ 10x = 160
  3. 3

    Divide both sides by 10:

    10x10=16010 ⇒ x=16\frac{10x}{10} = \frac{160}{10} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    10⋅16+4=160+4=164✓10\cdot16 + 4 = 160 + 4 = 164 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 4 = 164\ \Rightarrow\ x = 16 \]
\[ 10x + 4 = 164 \]
\[ 10x + 4 - 4 = 164 - 4 \ \Rightarrow\ 10x = 160 \]
\[ \frac{10x}{10} = \frac{160}{10} \ \Rightarrow\ x = 16 \]
\[ 10\cdot16 + 4 = 160 + 4 = 164 \checkmark \]

Trying values of x in 10x + 4 = 164

x10x + 4Equals 164?
14144no
15154no
16164yes
17174no
18184no

Questions

What is x in 10x + 4 = 164?

The solution of 10x + 4 = 164 is x = 16.

How do you solve 10x + 4 = 164?

Subtract 4 from both sides to get 10x = 160, then divide both sides by 10 to get x = 16.

How do I check the answer?

Replace x by 16: 10(16) + 4 = 164, which is 164.

Similar equations

    Solve 10x + 4 = 164: x = 16 (steps and check) | WordGPT