Let's solve the equation step by step:
6x - 3.2 = 5x - 1.5(4 - 3x)
First, distribute the -1.5:
6x - 3.2 = 5x - 6 + 4.5x
Combine like terms:
6x - 3.2 = 9.5x - 6
Now, isolate x on one side of the equation. Subtract 5x from both sides:
6x - 5x - 3.2 = 9.5x - 5x - 6
x - 3.2 = 4.5x - 6
Next, isolate x by adding 3.2 to both sides and subtracting 4.5x from both sides:
x - 4.5x = -6 + 3.2
-3.5x = -2.8
Finally, divide by -3.5 to solve for x:
x = -2.8 / -3.5
x = 0.8
Therefore, the solution to the equation is x = 0.8.
Let's solve the equation step by step:
6x - 3.2 = 5x - 1.5(4 - 3x)
First, distribute the -1.5:
6x - 3.2 = 5x - 6 + 4.5x
Combine like terms:
6x - 3.2 = 9.5x - 6
Now, isolate x on one side of the equation. Subtract 5x from both sides:
6x - 5x - 3.2 = 9.5x - 5x - 6
x - 3.2 = 4.5x - 6
Next, isolate x by adding 3.2 to both sides and subtracting 4.5x from both sides:
x - 4.5x = -6 + 3.2
-3.5x = -2.8
Finally, divide by -3.5 to solve for x:
x = -2.8 / -3.5
x = 0.8
Therefore, the solution to the equation is x = 0.8.