Answer:
[tex]\boxed { x = 4}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]2x + 4x + 6x - 2(x + 3) = 34[/tex]
-Combine like terms:
[tex]2x + 4x + 6x - 2(x + 3) = 34[/tex]
[tex]12x - 2(x + 3) = 34[/tex]
-Use Distributive Property:
[tex]12x - 2(x + 3) = 34[/tex]
[tex]12x - 2x - 6 = 34[/tex]
-Combine like terms:
[tex]12x - 2x - 6 = 34[/tex]
[tex]10x - 6 = 34[/tex]
-Add [tex]6[/tex] to both sides:
[tex]10x - 6 + 6 = 34 + 6[/tex]
[tex]10x = 40[/tex]
Divide both sides by [tex]10[/tex]:
[tex]\frac{10x}{10} = \frac{40}{10}[/tex]
[tex]\boxed { x = 4}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]4[/tex].
