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Solve 3x + 10 = 19

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

The lines y = 3x + 10 and y = 19 meet at x = 3-22468510152025303540x = 3y = 3x + 10y = 19
The lines y = 3x + 10 and y = 19 meet at x = 3. 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.

    3x+10=193x + 10 = 19
  2. 2

    Subtract 10 from both sides:

    3x+10−10=19−10 ⇒ 3x=93x + 10 - 10 = 19 - 10 \ \Rightarrow\ 3x = 9
  3. 3

    Divide both sides by 3:

    3x3=93 ⇒ x=3\frac{3x}{3} = \frac{9}{3} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    3⋅3+10=9+10=19✓3\cdot3 + 10 = 9 + 10 = 19 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 10 = 19\ \Rightarrow\ x = 3 \]
\[ 3x + 10 = 19 \]
\[ 3x + 10 - 10 = 19 - 10 \ \Rightarrow\ 3x = 9 \]
\[ \frac{3x}{3} = \frac{9}{3} \ \Rightarrow\ x = 3 \]
\[ 3\cdot3 + 10 = 9 + 10 = 19 \checkmark \]

Trying values of x in 3x + 10 = 19

x3x + 10Equals 19?
113no
216no
319yes
422no
525no

Questions

What is x in 3x + 10 = 19?

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

How do you solve 3x + 10 = 19?

Subtract 10 from both sides to get 3x = 9, then divide both sides by 3 to get x = 3.

How do I check the answer?

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

Similar equations

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