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Solve 10x + 12 = 52

The solution of 10x + 12 = 52 is x = 4.

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The lines y = 10x + 12 and y = 52 meet at x = 4-2246810-2020406080100120x = 4y = 10x + 12y = 52
The lines y = 10x + 12 and y = 52 meet at x = 4. 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+12=5210x + 12 = 52
  2. 2

    Subtract 12 from both sides:

    10x+12−12=52−12 ⇒ 10x=4010x + 12 - 12 = 52 - 12 \ \Rightarrow\ 10x = 40
  3. 3

    Divide both sides by 10:

    10x10=4010 ⇒ x=4\frac{10x}{10} = \frac{40}{10} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    10⋅4+12=40+12=52✓10\cdot4 + 12 = 40 + 12 = 52 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 12 = 52\ \Rightarrow\ x = 4 \]
\[ 10x + 12 = 52 \]
\[ 10x + 12 - 12 = 52 - 12 \ \Rightarrow\ 10x = 40 \]
\[ \frac{10x}{10} = \frac{40}{10} \ \Rightarrow\ x = 4 \]
\[ 10\cdot4 + 12 = 40 + 12 = 52 \checkmark \]

Trying values of x in 10x + 12 = 52

x10x + 12Equals 52?
232no
342no
452yes
562no
672no

Questions

What is x in 10x + 12 = 52?

The solution of 10x + 12 = 52 is x = 4.

How do you solve 10x + 12 = 52?

Subtract 12 from both sides to get 10x = 40, then divide both sides by 10 to get x = 4.

How do I check the answer?

Replace x by 4: 10(4) + 12 = 52, which is 52.

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    Solve 10x + 12 = 52: x = 4 (steps and check) | WordGPT