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5 votes
Help please? I dont get it at all
Solve for x.

8/9(54x−36)+2 = −3/4(−40+16x)+90x

1 Answer

2 votes
Regroup terms

simplify 8/9(54x - 36) to 8(54x - 36)/9

factor out the common term 18

simplify 8 x 18(3x - 2) to 144(3x - 2)

simplify 144(3x - 2)/9 to 16(3x - 2)

simplify 3/4(16x - 40) to 3(16x - 40)/4

factor out the common term 8

simplify 3 x 8(2x - 5) to 24(2x - 5)

simplify 24(2x - 5)/4 to 6(2x - 5)

expand

simplify 48x - 32 + 2 to 48x - 30

simplify -12x + 30 + 90x to 78x + 30

subtract 48x from both sides

simplify 78x + 30 - 48x to 30x + 30

subtract 30 from both sides

simplify -30 - 30 to -60

divide both sides by 30

simplify 60/30 to 2

switch sides

Answer: x = -2
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