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Solve 7x + 4 = 123

The solution of 7x + 4 = 123 is x = 17.

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The lines y = 7x + 4 and y = 123 meet at x = 1712141618202280100120140160x = 17y = 7x + 4y = 123
The lines y = 7x + 4 and y = 123 meet at x = 17. 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+4=1237x + 4 = 123
  2. 2

    Subtract 4 from both sides:

    7x+4−4=123−4 ⇒ 7x=1197x + 4 - 4 = 123 - 4 \ \Rightarrow\ 7x = 119
  3. 3

    Divide both sides by 7:

    7x7=1197 ⇒ x=17\frac{7x}{7} = \frac{119}{7} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    7⋅17+4=119+4=123✓7\cdot17 + 4 = 119 + 4 = 123 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 4 = 123\ \Rightarrow\ x = 17 \]
\[ 7x + 4 = 123 \]
\[ 7x + 4 - 4 = 123 - 4 \ \Rightarrow\ 7x = 119 \]
\[ \frac{7x}{7} = \frac{119}{7} \ \Rightarrow\ x = 17 \]
\[ 7\cdot17 + 4 = 119 + 4 = 123 \checkmark \]

Trying values of x in 7x + 4 = 123

x7x + 4Equals 123?
15109no
16116no
17123yes
18130no
19137no

Questions

What is x in 7x + 4 = 123?

The solution of 7x + 4 = 123 is x = 17.

How do you solve 7x + 4 = 123?

Subtract 4 from both sides to get 7x = 119, then divide both sides by 7 to get x = 17.

How do I check the answer?

Replace x by 17: 7(17) + 4 = 123, which is 123.

Similar equations

    Solve 7x + 4 = 123: x = 17 (steps and check) | WordGPT