Question

Solve for x! please help (show work)

Answer 1

Answer:

$x=4$

Step-by-step explanation:

Solving for $x$, we get:

$16=2(3x-6)+x$

$16=2*3x+2(-6)+x$ (Distributive Property of Multiplication)

$16=6x-12+x$ (Multiply distributed terms)

$16=7x-12$ (Combine like terms)

$16+12=7x-12+12$ (Add $12$ to both sides of the equation to isolate $x$)

$28=7x$ (Combine like terms / Simplify)

$\frac{28}{7}=\frac{7x}{7}$ (Divide both sides of the equation by $7$ to get rid of $x$'s coefficient)

$\bf x=4$ (Simplify / Symmetric Property of Equality)

Hope this helps!

Answer 2

Step-by-step explanation:

$16 = 2(3x - 6) + x \\ 16 = 6x - 12 + x \\ - 6x - x = - 12 - 16 \\ - 7x = - 12 - 16 \\ 7x = 12 + 16 \\ 7x = 28 \\ x = \frac{28}{7} \\ x = 4$