Solve
8x-(5x + 7)=17
8x-(5x + 7)=17
remove parentheses.
8x - 5x -7 = 17
move -7 to the other side.
8x-5x = 17 + 7
combine terms
3x = 24
divide both sides by 3.
3x/3 = 24/3
x = 8.
Check it.
8*8-(5*8+7)=17
64-(40+7)=17
64-(47)=17
64-47 = 17
17 = 17
It checks.
To solve the equation 8x - (5x + 7) = 17, we need to simplify and then isolate the variable x.
Step 1: Remove the parentheses using the distributive property.
8x - 5x - 7 = 17
Step 2: Combine like terms on the left side of the equation.
(8x - 5x) - 7 = 17
3x - 7 = 17
Step 3: Move the constant term (-7) to the right side of the equation by adding 7 to both sides.
3x - 7 + 7 = 17 + 7
3x = 24
Step 4: Divide both sides of the equation by the coefficient of the variable (3) to solve for x.
3x/3 = 24/3
x = 8
So, the solution to the equation is x = 8.