Home > Algebra > Distributive Property for Multi-Step Equations

How do you solve #-6(-2x+2)+4(3+4x)=28# using the distributive property?

Answer 1

x = 1

The #color(blue)"distributive property"# means multiply each of the terms inside the bracket by the number outside the bracket.

In general terms this can be shown as.

#color(red)(|bar(ul(color(white)(a/a)color(black)(a(b+c)=ab+ac)color(white)(a/a)|)))#

#rArr(-6xx-2x)+(-6xx2)+(4xx3)+(4xx4x)=28#

#rArr12x-cancel(12)+cancel(12)+16x=28#

#rArr28x=28#

#(cancel(28)^1 x)/cancel(28)^1=cancel(28)^1/cancel(28)^1rArrx=1#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Nathan Axel

To solve -6(-2x+2)+4(3+4x)=28 using the distributive property, distribute the -6 and 4 across the parentheses. Then, combine like terms and solve for x. The solution is x = -1.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.