2) 3.2x - 5.8x + 6 - 10.1 + x = -4.6 + 0.4x + 9 + 3x
2) 3.2x - 5.8x + 6 - 10.1 + x = -4.6 + 0.4x + 9 + 3x
Answer
Explanation:
Step1: Combine like terms on both sides
On the left - hand side: [ \begin{align*} 3.2x-5.8x + x+6 - 10.1&=(3.2-5.8 + 1)x+(6 - 10.1)\ &=(-1.6)x-4.1 \end{align*} ] On the right - hand side: [ \begin{align*} -4.6+9+0.4x + 3x&=(0.4 + 3)x+( - 4.6+9)\ &=3.4x + 4.4 \end{align*} ] The equation becomes (-1.6x-4.1 = 3.4x+4.4)
Step2: Move variable terms to one side and constant terms to the other side
Add (1.6x) to both sides: (-1.6x+1.6x-4.1=3.4x + 1.6x+4.4) (-4.1 = 5x+4.4) Subtract (4.4) from both sides: (-4.1-4.4=5x+4.4 - 4.4) (-8.5 = 5x)
Step3: Solve for (x)
Divide both sides by (5): (x=\frac{-8.5}{5}=-1.7)
Answer:
(x=-1.7)