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kazmiere2005oye9tz
11.07.2019 •
Mathematics
Solve for x 3(7 + 2x) + 3 = 3(5 + x) − 9(x + 1)
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Ответ:
Hey there! :)
3(7 + 2x) + 3 = 3(5 + x) - 9(x + 1)
Simplify.
(3 · 7) + (3 · 2x) + 3 = (3 · 5) + (3 · x) + (-9 · x) + (-9 · 1)
Simplify.
21 + 6x + 3 = 15 + 3x - 9x - 9
Add like terms.
6x + (21 + 3) = (3x - 9x) + (15 - 9)
Simplify.
6x + 24 = -6x + 6
Now, we need to isolate x. To do this, we must subtract 24 from both sides.
6x + 24 - 24 = -6x + 6 - 24
Simplify.
6x = -6x - 18
Add 6x to both sides.
6x + 6x = -6x - 18 + 6x
Simlpify.
12x = -18
Divide both sides by 12.
12x ÷ 12 = -18 ÷ 12
Simplify.
x = -18/12
Simplify further.
x = -3/2 OR x = -1 1/2
~hope I helped~
Ответ:
Step One
Remove all the brackets
3(7 + 2x) + 3 = 3(5 + x) − 9(x + 1)
21 + 6x + 3 = 15 + 3x - 9x - 9 Collect like terms.
24 + 6x = 6 - 6x Add 6x to both sides.
24 + 6x + 6x = 6 Subtract 24 from both sides
12x = 6 - 24
12x = - 18 Divide by 12
x = - 18 /12
x = - 1.5
Check
3(7 + 2*(-1.5)) + 3 = ? 3(5 + -(1.5) - 9(-1.5 + 1)
3(7 - 3) + 3 =? 3(3.5) - 9*(-1/2)
3*4 + 3 =? 10.5 + 4.5
12 + 3 =? 15 And it checks.
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