Question

1. write the justification to the following equation below. solve for x: 3x + 1 = -2x + 36 -1 - 1 3x = -2x + 35 +2x +2x 5x = 35 5x/5 = 35/5 x = 7

Explanation:

Step1: Subtract 1 from both sides

Subtracting 1 from both sides of the equation $3x + 1=-2x + 36$ maintains equality. So, $3x+1 - 1=-2x + 36-1$ simplifies to $3x=-2x + 35$.

Step2: Add 2x to both sides

Adding 2x to both sides keeps the equation balanced. $3x+2x=-2x + 2x+35$ results in $5x = 35$.

Step3: Divide both sides by 5

Dividing both sides of $5x = 35$ by 5 gives the value of x. $\frac{5x}{5}=\frac{35}{5}$, so $x = 7$.

Answer:

$x = 7$