Answer:
The value of [tex]x[/tex]:
[tex]x = -4[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex]:
[tex]6(x+3) - 4x = 10[/tex]
Use Distributive Property:
[tex]6(x+3) - 4x = 10[/tex]
[tex]6x + 18 - 4x = 10[/tex]
Combine [tex]6x[/tex] and [tex]-4x[/tex] together:
[tex]6x + 18 - 4x = 10[/tex]
[tex]2x + 18 = 10[/tex]
Subtract both sides by [tex]18[/tex]:
[tex]2x + 18 - 18 = 10 -18[/tex]
[tex]2x = -8[/tex]
Divide both sides by [tex]2[/tex]:
[tex]\frac{2x}{2} = \frac{-8}{2}[/tex]
[tex]x = -4[/tex]
So, therefore, the final answer is [tex]x = -4[/tex] .
