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Solve 6x + 4 = 52

The solution of 6x + 4 = 52 is x = 8.

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The lines y = 6x + 4 and y = 52 meet at x = 82468101214102030405060708090x = 8y = 6x + 4y = 52
The lines y = 6x + 4 and y = 52 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.

    6x+4=526x + 4 = 52
  2. 2

    Subtract 4 from both sides:

    6x+4−4=52−4 ⇒ 6x=486x + 4 - 4 = 52 - 4 \ \Rightarrow\ 6x = 48
  3. 3

    Divide both sides by 6:

    6x6=486 ⇒ x=8\frac{6x}{6} = \frac{48}{6} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    6⋅8+4=48+4=52✓6\cdot8 + 4 = 48 + 4 = 52 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 4 = 52\ \Rightarrow\ x = 8 \]
\[ 6x + 4 = 52 \]
\[ 6x + 4 - 4 = 52 - 4 \ \Rightarrow\ 6x = 48 \]
\[ \frac{6x}{6} = \frac{48}{6} \ \Rightarrow\ x = 8 \]
\[ 6\cdot8 + 4 = 48 + 4 = 52 \checkmark \]

Trying values of x in 6x + 4 = 52

x6x + 4Equals 52?
640no
746no
852yes
958no
1064no

Questions

What is x in 6x + 4 = 52?

The solution of 6x + 4 = 52 is x = 8.

How do you solve 6x + 4 = 52?

Subtract 4 from both sides to get 6x = 48, then divide both sides by 6 to get x = 8.

How do I check the answer?

Replace x by 8: 6(8) + 4 = 52, which is 52.

Similar equations

    Solve 6x + 4 = 52: x = 8 (steps and check) | WordGPT