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Solving Multi-Step Equations

Solving Multi-Step Equations 1.11 - Solution

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a
To isolate the xx-term we subtract 77 from both sides. Then, we'll continue by dividing both sides by 3.3.
3x+7=193x + 7 = 19
3x=123x = 12
x=4x = 4
b
The first step is to use the inverse operation of subtracting 10,10, meaning adding 10.10. Then, we multiply both sides by 4.4.
x410=3\dfrac{x}{4} - 10 = 3
x4=13\dfrac{x}{4} = 13
x44=134\dfrac{x}{4}\cdot 4 = 13\cdot 4
x=52x = 52
c
Let's solve for xx by adding 66 to both sides and then dividing by 1.7.
1.7x6=1641.7x - 6 = 164
1.7x=1701.7x = 170
x=1701.7x = \dfrac{170}{1.7}
x=100x = 100