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Solve 10x + 3 = 163

The solution of 10x + 3 = 163 is x = 16.

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The lines y = 10x + 3 and y = 163 meet at x = 1610121416182022100120140160180200220x = 16y = 10x + 3y = 163
The lines y = 10x + 3 and y = 163 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+3=16310x + 3 = 163
  2. 2

    Subtract 3 from both sides:

    10x+3−3=163−3 ⇒ 10x=16010x + 3 - 3 = 163 - 3 \ \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+3=160+3=163✓10\cdot16 + 3 = 160 + 3 = 163 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 3 = 163\ \Rightarrow\ x = 16 \]
\[ 10x + 3 = 163 \]
\[ 10x + 3 - 3 = 163 - 3 \ \Rightarrow\ 10x = 160 \]
\[ \frac{10x}{10} = \frac{160}{10} \ \Rightarrow\ x = 16 \]
\[ 10\cdot16 + 3 = 160 + 3 = 163 \checkmark \]

Trying values of x in 10x + 3 = 163

x10x + 3Equals 163?
14143no
15153no
16163yes
17173no
18183no

Questions

What is x in 10x + 3 = 163?

The solution of 10x + 3 = 163 is x = 16.

How do you solve 10x + 3 = 163?

Subtract 3 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) + 3 = 163, which is 163.

Similar equations

    Solve 10x + 3 = 163: x = 16 (steps and check) | WordGPT