Question 153179
Ok, the first one is not an ecuation(sic) but an expression.
1) 4(2x-1)-6(x+3) First, apply the distributive property to both terms to get:
(8x-4)-(6x+18) Now remove the parentheses and don't foget to change the sign (+ to -) in the second group.
8x-4-6x-18 Combine like terms.
(8x-6x)+(-4-18)
2x+(-22) = 2x-22 or 2(x-11)
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2) 6a-2a+5 = 17  Now this is an equation! Combine the a's on the left side.
4a+5 = 17 Now subtract 5 from both sides.
4a = 12 Finally, divide both sides by 4.
a = 3
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3) 4(8-3w) = 32-8(w+2) Apply the distributive property, where appropriate.
(32-12w) = 32-(8w+16) Remove the parentheses and remember the sign-change (+ to -) in the right-most set of parentheses.
32-12w = 32-8w-16 Now combine like-terms.
32-12w = 16-8w Add 12 w to both sides.
32 = 16+4w Subtract 16 from both sides.
16 = 4w Finally, divide both sides by 4.
4 = w or w = 4