To solve this equation, we will first distribute the terms inside the parentheses on the left side of the equation:
4(0.7x) - 4(0.3) - 5(0.2x) + 5(0.6) = -3.8 - x
Next, simplify the equation by performing the multiplications:
2.8x - 1.2 - x + 3 - 1x = -3.8 - x
Combine like terms:
2.8x - x - x - 1.2 + 3 = -3.8 - x
Simplify further:
0.8x - 1.2 + 3 = -3.8 - x
0.8x + 1.8 = -3.8 - x
Now, eliminate fractions by multiplying the entire equation by 10 to get rid of the decimals:
8x + 18 = -38 - 10x
Next, combine like terms:
8x + 10x = -38 - 18
18x = -56
Now, divide by 18 to solve for x:
x = -56/1x = -3.11 (rounded to two decimal places)
Therefore, the solution to the equation is x = -3.11.
To solve this equation, we will first distribute the terms inside the parentheses on the left side of the equation:
4(0.7x) - 4(0.3) - 5(0.2x) + 5(0.6) = -3.8 - x
Next, simplify the equation by performing the multiplications:
2.8x - 1.2 - x + 3 - 1x = -3.8 - x
Combine like terms:
2.8x - x - x - 1.2 + 3 = -3.8 - x
Simplify further:
0.8x - 1.2 + 3 = -3.8 - x
0.8x + 1.8 = -3.8 - x
Now, eliminate fractions by multiplying the entire equation by 10 to get rid of the decimals:
8x + 18 = -38 - 10x
Next, combine like terms:
8x + 10x = -38 - 18
18x = -56
Now, divide by 18 to solve for x:
x = -56/1
x = -3.11 (rounded to two decimal places)
Therefore, the solution to the equation is x = -3.11.