Question

solve the equation below.2(x + 3) - 2 > 5 + 3(x - 2)

Answer 1

Equation:

$2\mleft(x+3\mright)-2>5+3\mleft(x-2\mright)$

Procedure:

0. Simplifying both sides of the equation:

$2x+6-2>5+3x-6$$2x+4>3x-1$

2. Getting the x on one side and the constants on the other:

$2x-3x>-1-4$$-x>-5$

3. Dividing both sides by -1:

$\frac{-x}{-1}>\frac{-5}{-1}$

By doing this, the sing will change as follows:

$x<5$

Answer:

$x<5$