solve for x: 4x(5-6)=10(6x+2)
i need help i don't get this problem......
4x(-1) = 10(6x+2)
-4x = 60x + 20
-64x = 20
x = -20/64 = -5/16
To solve for x in the equation, 4x(5-6) = 10(6x+2), follow these steps:
Step 1: Simplify both sides of the equation.
Start by simplifying the expressions within the parentheses on both sides.
4x(-1) = 60x + 20
Step 2: Distribute the 4x term on the left side.
-4x = 60x + 20
Step 3: Combine like terms.
Add 4x to both sides of the equation to isolate the variable term.
-4x - 4x = 60x + 20 - 4x
-8x = 60x + 20
Step 4: Move all terms containing x to one side.
Subtract 60x from both sides of the equation.
-8x - 60x = 60x + 20 - 60x
-68x = 20
Step 5: Solve for x.
Divide both sides of the equation by -68 to solve for x.
x = 20 / -68
x ≈ -0.2941
Therefore, the solution for x is approximately -0.2941.