Solve the equation for x.
30x+10x=40=16x+8
strange way to write an equation!
i) 30x+10x=40 => 40x=40 => x=40/40; x=1
ii) 16x+8=40 => 16x=40-8 => x=32/16; x=2
...perhaps
check for typos. I suspect one of the "=" is a "+"
To solve the equation for x, we need to simplify and isolate the variable x. Let's break down the steps:
Step 1: Combine like terms on both sides of the equation.
On the left side of the equation, we have 30x + 10x, which can be simplified to 40x. On the right side, we have 16x + 8.
The equation now becomes:
40x = 16x + 8
Step 2: Isolate x on one side of the equation.
To do this, we want to move the term with 16x and 8 to the left side of the equation, and move the term with 40x to the right side of the equation.
Subtract 16x from both sides:
40x - 16x = 16x + 8 - 16x
This simplifies to:
24x = 8
Step 3: Solve for x.
To solve for x, we need to isolate x on one side of the equation.
Divide both sides by 24:
(24x) / 24 = 8 / 24
This simplifies to:
x = 1/3
So, the solution to the equation is x = 1/3.