Question

5x-2=3x+4 which one? x=1 x=2/3 x=-3 x=3

Answer 1

Answer:

x=3

Step-by-step explanation:

Answer 2

Answer:

$\boxed {\tt x=3}$

Step-by-step explanation:

We are given the equation:

$5x-2=3x+4$

We want to solve for x, therefore we must isolate x on one side of the equation.

First, move all the constants to one side of the equation. 2 is being subtracted from 5x. The inverse of subtraction is addition. Add 2 to both sides.

$5x-2+2=3x+4+2$

$5x=3x+4+2$

$5x=3x+6$

Next, move all the terms with variables to one side. 3x is being added to 6. The inverse of addition is subtraction. Subtract 3x from both sides.

$5x-3x=3x-3x+6$

$5x-3x=6$

$2x=6$

x is being multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.

$\frac{2x}{2} =\frac{6}{2}$

$x=\frac{6}{2}$

$x=3$

x is equal to 3 and the correct answer is D. x=3