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Solve 5x + 7 = 57

The solution of 5x + 7 = 57 is x = 10.

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The lines y = 5x + 7 and y = 57 meet at x = 104681012141630405060708090x = 10y = 5x + 7y = 57
The lines y = 5x + 7 and y = 57 meet at x = 10. 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.

    5x+7=575x + 7 = 57
  2. 2

    Subtract 7 from both sides:

    5x+7−7=57−7 ⇒ 5x=505x + 7 - 7 = 57 - 7 \ \Rightarrow\ 5x = 50
  3. 3

    Divide both sides by 5:

    5x5=505 ⇒ x=10\frac{5x}{5} = \frac{50}{5} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    5⋅10+7=50+7=57✓5\cdot10 + 7 = 50 + 7 = 57 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 7 = 57\ \Rightarrow\ x = 10 \]
\[ 5x + 7 = 57 \]
\[ 5x + 7 - 7 = 57 - 7 \ \Rightarrow\ 5x = 50 \]
\[ \frac{5x}{5} = \frac{50}{5} \ \Rightarrow\ x = 10 \]
\[ 5\cdot10 + 7 = 50 + 7 = 57 \checkmark \]

Trying values of x in 5x + 7 = 57

x5x + 7Equals 57?
847no
952no
1057yes
1162no
1267no

Questions

What is x in 5x + 7 = 57?

The solution of 5x + 7 = 57 is x = 10.

How do you solve 5x + 7 = 57?

Subtract 7 from both sides to get 5x = 50, then divide both sides by 5 to get x = 10.

How do I check the answer?

Replace x by 10: 5(10) + 7 = 57, which is 57.

Similar equations

    Solve 5x + 7 = 57: x = 10 (steps and check) | WordGPT