Solve for x : 2+2(0.2 x+3)=0.5(4x+4) Answer: x=

Distribute and Simplify: First, we need to distribute the 2 inside the parentheses on the left side of the equation and the 0.5 inside the parentheses on the right side of the equation. 2 + 2(0.2x + 3) = 0.5(4x + 4) 2 + 2 * 0.2x + 2 * 3 = 0.5 * 4x + 0.5 * 4 2 + 0.4x + 6 = 2x + 2Combine Like Terms: Next, we combine like terms on the left side of the equation. 2 + 0.4x + 6 = 2x + 2 (2 + 6) + 0.4x = 2x + 2 8 + 0.4x = 2x + 2Isolate X Terms: Now, we need to get all the x terms on one side and the constants on the other side. We can do this by subtracting 0.4x from both sides and subtracting 2 from both sides. 8 + 0.4x - 0.4x = 2x + 2 - 0.4x 8 = 2x - 0.4x + 2 8 - 2 = 2x - 0.4x 6 = 1.6xSolve for X: Finally, we solve for x by dividing both sides of the equation by 1.6. 6 / 1.6 = 1.6x / 1.6 3.75 = x

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Solve for
x :

2+2(0.2 x+3)=0.5(4x+4)
Answer:
x=

Solve for $x$ : $\newline$ $2+2(0.2 x+3)=0.5(4 x+4)$ $\newline$ Answer: $x=$

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Algebra 1

Solve multi-step linear equations

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Q. Solve for

x

\newline

2+2(0.2 x+3)=0.5(4 x+4)

\newline

Answer:

x=

Distribute and Simplify: First, we need to distribute the $2$ inside the parentheses on the left side of the equation and the $0.5$ inside the parentheses on the right side of the equation. $\newline$ $2 + 2(0.2x + 3) = 0.5(4x + 4)$ $\newline$ $2 + 2 \times 0.2x + 2 \times 3 = 0.5 \times 4x + 0.5 \times 4$ $\newline$ $2 + 0.4x + 6 = 2x + 2$
Combine Like Terms: Next, we combine like terms on the left side of the equation. $\newline$ $2 + 0.4x + 6 = 2x + 2$ $\newline$ $(2 + 6) + 0.4x = 2x + 2$ $\newline$ $8 + 0.4x = 2x + 2$
Isolate X Terms: Now, we need to get all the $x$ terms on one side and the constants on the other side. We can do this by subtracting $0.4x$ from both sides and subtracting $2$ from both sides. $\newline$ $8 + 0.4x - 0.4x = 2x + 2 - 0.4x$ $\newline$ $8 = 2x - 0.4x + 2$ $\newline$ $8 - 2 = 2x - 0.4x$ $\newline$ $6 = 1.6x$
Solve for X: Finally, we solve for $x$ by dividing both sides of the equation by $1.6$ . $\frac{6}{1.6} = \frac{1.6x}{1.6}$ $3.75 = x$