0.4(6x+0.8)+0.18=0.5+2.4x for x=0.5

1.70 and 1.45

To solve the given equation 0.4(6x + 0.8) + 0.18 = 0.5 + 2.4x for x = 0.5, we need to substitute the value of x into the equation and simplify it.

Step 1: Substitute the value of x into the equation:
0.4(6(0.5) + 0.8) + 0.18 = 0.5 + 2.4(0.5)

Step 2: Simplify the equation:
0.4(3 + 0.8) + 0.18 = 0.5 + 1.2

Step 3: Further simplify the equation:
0.4(3.8) + 0.18 = 1.7

Step 4: Calculate the value on the left-hand side:
1.52 + 0.18 = 1.7

Step 5: Compare both sides of the equation:
1.7 = 1.7

Since both sides of the equation are equal, it confirms that x = 0.5 is a solution to the given equation.