To solve the equation 15 + 4 – 7x = 9, we first need to combine like terms and isolate the variable.
Step 1: Combine the numbers on the left side.
15 + 4 equals 19, so the equation now looks like:
19 – 7x = 9
Step 2: Next, we will isolate the term with ‘x’ by moving 19 to the right side of the equation. This is done by subtracting 19 from both sides:
-7x = 9 – 19
Which simplifies to:
-7x = -10
Step 3: Now, we want to solve for ‘x’. To do this, we will divide both sides of the equation by -7:
x = -10 / -7
This simplifies to:
x = 10/7
Step 4: To express the answer as a decimal, we can divide 10 by 7, which gives:
x ≈ 1.4286
So, the solution to the equation 15 + 4 – 7x = 9 is:
x = 10/7 or approximately x ≈ 1.4286.