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8 months ago

Solve for x.4(2x + 3) = 3x + 3 + 2x

Mathematics

1 answer:

ElenaW [278]8 months ago

3 0

Answer:

The value of x is -3.

Explanation:

Given the equation:

$4\mleft(2x+3\mright)=3x+3+2x$

Step 1: Distribute 4 in the left-hand side.

$\begin{gathered} 4\mleft(2x)+4(3\mright)=3x+3+2x \\ 8x+12=3x+2x+3 \\ 8x+12=5x+3 \end{gathered}$

Step 2: Collect like terms.

$\begin{gathered} 8x-5x=3-12 \\ 3x=-9 \end{gathered}$

Step 3: Divide both sides by 3.

$\begin{gathered} \frac{3x}{3}=-\frac{9}{3} \\ x=-3 \end{gathered}$

The value of x is -3.

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The diagram for this problem is shown below. Point E is the intersection of the two diagonals and we know that:

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