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Solve 10x + 3 = 193

The solution of 10x + 3 = 193 is x = 19.

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The lines y = 10x + 3 and y = 193 meet at x = 19141618202224140160180200220240260x = 19y = 10x + 3y = 193
The lines y = 10x + 3 and y = 193 meet at x = 19. 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+3=19310x + 3 = 193
  2. 2

    Subtract 3 from both sides:

    10x+3−3=193−3 ⇒ 10x=19010x + 3 - 3 = 193 - 3 \ \Rightarrow\ 10x = 190
  3. 3

    Divide both sides by 10:

    10x10=19010 ⇒ x=19\frac{10x}{10} = \frac{190}{10} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    10⋅19+3=190+3=193✓10\cdot19 + 3 = 190 + 3 = 193 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 3 = 193\ \Rightarrow\ x = 19 \]
\[ 10x + 3 = 193 \]
\[ 10x + 3 - 3 = 193 - 3 \ \Rightarrow\ 10x = 190 \]
\[ \frac{10x}{10} = \frac{190}{10} \ \Rightarrow\ x = 19 \]
\[ 10\cdot19 + 3 = 190 + 3 = 193 \checkmark \]

Trying values of x in 10x + 3 = 193

x10x + 3Equals 193?
17173no
18183no
19193yes
20203no
21213no

Questions

What is x in 10x + 3 = 193?

The solution of 10x + 3 = 193 is x = 19.

How do you solve 10x + 3 = 193?

Subtract 3 from both sides to get 10x = 190, then divide both sides by 10 to get x = 19.

How do I check the answer?

Replace x by 19: 10(19) + 3 = 193, which is 193.

Similar equations

    Solve 10x + 3 = 193: x = 19 (steps and check) | WordGPT