Answer:
[tex]D.\quad x = \dfrac{5}{2}[/tex]
Step-by-step explanation:
To solve for x in the equation [tex]-2x + 14 + 10x = 34[/tex], follow these steps:
Combine like terms on the left side of the equation:
[tex] -2x + 14 + 10x = 34 [/tex]
Combine the [tex]x[/tex]-terms:
[tex] 8x + 14 = 34 [/tex]
Subtract 14 from both sides:
[tex] 8x + 14 -14= 34 -14[/tex]
[tex] 8x = 20 [/tex]
Divide both sides by 8 to solve for [tex]x[/tex]:
[tex] \dfrac{ 8x}{8} = \dfrac{20}{8} [/tex]
[tex] x = \dfrac{20}{8} [/tex]
Simplify the fraction:
[tex] x = \dfrac{5}{2} [/tex]
So, the solution for [tex]x[/tex] in the given equation is:
[tex]D.\quad x = \dfrac{5}{2}[/tex]
