Final answer:
By combining like terms and simplifying the equation 0.4(x−4) + 0.6x = 1.4, we find that x equals 3.
Step-by-step explanation:
To solve for x in the provided equation, 0.4(x−4)+0.6x=1.4, we'll combine like terms and simplify. First, distribute the 0.4 into the parentheses:
0.4x - 0.4(4) + 0.6x = 1.4
0.4x - 1.6 + 0.6x = 1.4
Combine the x terms:
(0.4x + 0.6x) - 1.6 = 1.4
1.0x - 1.6 = 1.4
Now, isolate x by adding 1.6 to both sides of the equation:
1.0x = 1.4 + 1.6
1.0x = 3.0
Finally, divide by 1.0 to solve for x:
x = 3.0
Therefore, the solution to the equation is x = 3.