Equation has the solution as the x=2, which give this value for variable on simplifying the equation. The equation has the solution x=2 is,
[tex]3x+2=8[/tex]
Linear equation is the equation in which the highest power of the unknown variable is one.
The given linear equation in the problem are,
[tex]2x-3=19[/tex]
Add 3 both sides of the equation to solve it further,
[tex]2x=19+3\\2x=22[/tex]
Divide with number 2 both the sides as,
[tex]x=\dfrac{22}{2}\\x=11[/tex]
This equation has the solution x equal to 11. Thus this is not correct option.
[tex]3x+2=8[/tex]
Subtract 2 both sides of the equation to solve it further,
[tex]3x=8-2\\3x=6[/tex]
Divide with number 3 both the sides as,
[tex]x=\dfrac{6}{3}\\x=2[/tex]
This equation has the solution x equal to 2. Thus this is correct option.
[tex]4x-4=-4[/tex]
Add 4 both sides of the equation to solve it further,
[tex]4x=-4+4\\4x=0[/tex]
Divide with number 4 both the sides as,
[tex]x=\dfrac{0}{4}\\x=0[/tex]
This equation has the solution x equal to 0. Thus this is not correct option.
[tex]5x+1=10[/tex]
Subtract 1 both sides of the equation to solve it further,
[tex]5x=10-1\\5x=9[/tex]
Divide with number 5 both the sides as,
[tex]x=\dfrac{9}{5}[/tex]
This equation has the solution x equal to 9/5. Thus this is not correct option.
Hence, equation has the solution as the x=2, which give this value for variable on simplifying the equation. The equation has the solution x=2 is,
[tex]3x+2=8[/tex]
Learn more about the linear equation here;
https://brainly.com/question/14323743
