Question

solve the equation: 3 - 2(3x + 0.8) = 1.5(10 - 2x) + x

Explanation:

Step1: Expand both sides

First, expand $3 - 2(3x + 0.8)$ to $3-6x - 1.6=1.4 - 6x$, and expand $1.5(10 - 2x)+x$ to $15-3x + x=15 - 2x$. So the equation becomes $1.4-6x=15 - 2x$.

Step2: Move x - terms to one side

Add $6x$ to both sides: $1.4=15 - 2x+6x$, which simplifies to $1.4 = 15+4x$.

Step3: Isolate the x - term

Subtract 15 from both sides: $1.4 - 15=4x$, so $- 13.6 = 4x$.

Step4: Solve for x

Divide both sides by 4: $x=\frac{-13.6}{4}=-3.4$.

Answer:

$-3.4$