First, distribute the terms on both sides of the equation:
0.35(x) + 0.35(2) - 0.2(6x) + 0.2(3) = 0.3(4) - 0.3(3x)
0.35x + 0.7 - 1.2x + 0.6 = 1.2 - 0.9x
Combine like terms:
-0.85x + 1.3 = 1.2 - 0.9x
Next, add 0.9x to both sides to isolate the x term:
-0.85x + 0.9x + 1.3 = 1.2
0.05x + 1.3 = 1.2
Subtract 1.3 from both sides:
0.05x = -0.1
Finally, divide by 0.05 to solve for x:
x = -0.1 / 0.05x = -2
Therefore, the solution to the equation is x = -2.
First, distribute the terms on both sides of the equation:
0.35(x) + 0.35(2) - 0.2(6x) + 0.2(3) = 0.3(4) - 0.3(3x)
0.35x + 0.7 - 1.2x + 0.6 = 1.2 - 0.9x
Combine like terms:
-0.85x + 1.3 = 1.2 - 0.9x
Next, add 0.9x to both sides to isolate the x term:
-0.85x + 0.9x + 1.3 = 1.2
0.05x + 1.3 = 1.2
Subtract 1.3 from both sides:
0.05x = -0.1
Finally, divide by 0.05 to solve for x:
x = -0.1 / 0.05
x = -2
Therefore, the solution to the equation is x = -2.