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Solve 3x + 13 = 70

The solution of 3x + 13 = 70 is x = 19.

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The lines y = 3x + 13 and y = 70 meet at x = 19141618202224505560657075808590x = 19y = 3x + 13y = 70
The lines y = 3x + 13 and y = 70 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.

    3x+13=703x + 13 = 70
  2. 2

    Subtract 13 from both sides:

    3x+13−13=70−13 ⇒ 3x=573x + 13 - 13 = 70 - 13 \ \Rightarrow\ 3x = 57
  3. 3

    Divide both sides by 3:

    3x3=573 ⇒ x=19\frac{3x}{3} = \frac{57}{3} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    3⋅19+13=57+13=70✓3\cdot19 + 13 = 57 + 13 = 70 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 13 = 70\ \Rightarrow\ x = 19 \]
\[ 3x + 13 = 70 \]
\[ 3x + 13 - 13 = 70 - 13 \ \Rightarrow\ 3x = 57 \]
\[ \frac{3x}{3} = \frac{57}{3} \ \Rightarrow\ x = 19 \]
\[ 3\cdot19 + 13 = 57 + 13 = 70 \checkmark \]

Trying values of x in 3x + 13 = 70

x3x + 13Equals 70?
1764no
1867no
1970yes
2073no
2176no

Questions

What is x in 3x + 13 = 70?

The solution of 3x + 13 = 70 is x = 19.

How do you solve 3x + 13 = 70?

Subtract 13 from both sides to get 3x = 57, then divide both sides by 3 to get x = 19.

How do I check the answer?

Replace x by 19: 3(19) + 13 = 70, which is 70.

Similar equations

    Solve 3x + 13 = 70: x = 19 (steps and check) | WordGPT