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Solve for x, y, z
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10x-20-6=-2\left(x-5\right)
Consider the first equation. Use the distributive property to multiply 5 by 2x-4.
10x-26=-2\left(x-5\right)
Subtract 6 from -20 to get -26.
10x-26=-2x+10
Use the distributive property to multiply -2 by x-5.
10x-26+2x=10
Add 2x to both sides.
12x-26=10
Combine 10x and 2x to get 12x.
12x=10+26
Add 26 to both sides.
12x=36
Add 10 and 26 to get 36.
x=\frac{36}{12}
Divide both sides by 12.
x=3
Divide 36 by 12 to get 3.
y=3\times 3
Consider the second equation. Insert the known values of variables into the equation.
y=9
Multiply 3 and 3 to get 9.
z=9
Consider the third equation. Insert the known values of variables into the equation.
x=3 y=9 z=9
The system is now solved.