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Solve 7x + 3 = 59

The solution of 7x + 3 = 59 is x = 8.

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The lines y = 7x + 3 and y = 59 meet at x = 8246810121420406080100x = 8y = 7x + 3y = 59
The lines y = 7x + 3 and y = 59 meet at x = 8. 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.

    7x+3=597x + 3 = 59
  2. 2

    Subtract 3 from both sides:

    7x+3−3=59−3 ⇒ 7x=567x + 3 - 3 = 59 - 3 \ \Rightarrow\ 7x = 56
  3. 3

    Divide both sides by 7:

    7x7=567 ⇒ x=8\frac{7x}{7} = \frac{56}{7} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    7⋅8+3=56+3=59✓7\cdot8 + 3 = 56 + 3 = 59 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 3 = 59\ \Rightarrow\ x = 8 \]
\[ 7x + 3 = 59 \]
\[ 7x + 3 - 3 = 59 - 3 \ \Rightarrow\ 7x = 56 \]
\[ \frac{7x}{7} = \frac{56}{7} \ \Rightarrow\ x = 8 \]
\[ 7\cdot8 + 3 = 56 + 3 = 59 \checkmark \]

Trying values of x in 7x + 3 = 59

x7x + 3Equals 59?
645no
752no
859yes
966no
1073no

Questions

What is x in 7x + 3 = 59?

The solution of 7x + 3 = 59 is x = 8.

How do you solve 7x + 3 = 59?

Subtract 3 from both sides to get 7x = 56, then divide both sides by 7 to get x = 8.

How do I check the answer?

Replace x by 8: 7(8) + 3 = 59, which is 59.

Similar equations

    Solve 7x + 3 = 59: x = 8 (steps and check) | WordGPT