Both Sides Now
8x = 3x + 35
x = 7
What number do you multiply every term by to clear the fractions in
(3/4)x − 1/6 = (5/8)x + 1/3
24 (The LCD)
3(x − 4) = 21
x = 11
7x − 4 − 3x = 8
x = 3
In 8 − 3x = 2x − 7, what is the coefficient of x on the left side?
−3
6x + 11 = 2x − 5
x = −4
0.6x + 2.5 = 0.1x + 7
x = 9
4(2x − 3) = 5x + 12
x = 8
15 − (x + 3) = 2
x = 10
In 7x + 4 = 3x − 12, what are the 4 and the −12 called?
Constants
−2x − 9 = −5x + 6
x = 5
(1/2)x + 7 = (2/3)x + 4
x = 18
−3(2x + 1) = x − 17
x = 2
8x − (3x − 4) = −21
x = −5
In 3x − (4x − 9) = 15, subtracting (4x − 9) is the same as adding what?
−4x + 9
−9 − 7x = −3x + 19
x = −7
1.45x − 3.5 = 8.5 − 0.55x
x = 6
(2/3)(9x − 6) = 4x + 4
x = 4
5x − (1.5x − 3) = x − 2
x = −2
What property takes 2(x + 5) = 18 to 2x + 10 = 18?
Distributive Property
4x − 9 − 6x = 15 + 5x − 3x
x = −6
(1/3)(x + 6) = (1/2)(x − 4)
x = 24
−(3/4)(8x − 4) = 2(x + 9) − 3x
x = −3
4x − (x − 2) = −(1/2)(4x − 6) − (x − 5)
x = 1
This cheese was created in 1892 by Emil Frey & named for a New York singing society whose members loved the cheese
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