Solve for x, y, z
z=4
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10\left(3x+2\right)-20=5\left(2x-1\right)-4\left(2x+1\right)
Consider the first equation. Multiply both sides of the equation by 20, the least common multiple of 2,4,5.
30x+20-20=5\left(2x-1\right)-4\left(2x+1\right)
Use the distributive property to multiply 10 by 3x+2.
30x=5\left(2x-1\right)-4\left(2x+1\right)
Subtract 20 from 20 to get 0.
30x=10x-5-4\left(2x+1\right)
Use the distributive property to multiply 5 by 2x-1.
30x=10x-5-8x-4
Use the distributive property to multiply -4 by 2x+1.
30x=2x-5-4
Combine 10x and -8x to get 2x.
30x=2x-9
Subtract 4 from -5 to get -9.
30x-2x=-9
Subtract 2x from both sides.
28x=-9
Combine 30x and -2x to get 28x.
x=-\frac{9}{28}
Divide both sides by 28.
x=-\frac{9}{28} y=4 z=4
The system is now solved.
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