Answer:
[tex]\boxed {\tt x=3}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]5x-2=3x+4[/tex]
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.
[tex]5x-2+2=3x+4+2[/tex]
[tex]5x=3x+4+2[/tex]
[tex]5x=3x+6[/tex]
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.
[tex]5x-3x=3x-3x+6[/tex]
[tex]5x-3x=6[/tex]
[tex]2x=6[/tex]
x is being multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.
[tex]\frac{2x}{2} =\frac{6}{2}[/tex]
[tex]x=\frac{6}{2}[/tex]
[tex]x=3[/tex]
x is equal to 3 and the correct answer is D. x=3
