Answer:
d = 3
e = 24
x = 10
Explanation:
19d - 3(d - 6) = 66
Expand the right side by multiplying -3 times d and -6:
19d - 3d + 18 = 66
combine terms using d on left side:
19d - 3d + 18 = 66
16d + 18 = 66
subtract 18 from both sides:
16d + 18 - 18 = 66 - 18
16d = 48
divide both sides by 16:
16d/16 = 48/16
d = 3
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1/4(e - 8) + 3 = 7
multiply 3 and -8 by 1/4 on left side:
1/4e - 2 + 3 = 7
simplify left side:
1/4e + 1 = 7
subtract 1 from both sides:
1/4 e + 1 - 1 = 7 - 1
1/4e = 6
divide both sides by 1/4:
1/4e/(1/4) = 6/(1/4)
e = 24
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4x - (2x + 3) - 6 = 11
add 6 to both sides:
4x - (2x + 3) - 6 + 6 = 11 + 6
4x - (2x + 3) = 17
remove ()'s and remember to change signs:
4x - 2x - 3 = 17
combine x terms on left side:
2x - 3 = 17
add 3 to both sides:
2x - 3 + 3 = 17 + 3
2x = 20
divide both sides by 2:
2x/2 = 20/2
x = 10
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