Solve for x (complex solution)
x\in \mathrm{C}
Solve for x
x\in \mathrm{R}
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x-10\left(x+3\right)=12-3\left(x+14\right)-6x
Multiply both sides of the equation by 2.
x-10x-30=12-3\left(x+14\right)-6x
Use the distributive property to multiply -10 by x+3.
-9x-30=12-3\left(x+14\right)-6x
Combine x and -10x to get -9x.
-9x-30=12-3x-42-6x
Use the distributive property to multiply -3 by x+14.
-9x-30=-30-3x-6x
Subtract 42 from 12 to get -30.
-9x-30=-30-9x
Combine -3x and -6x to get -9x.
-9x-30+9x=-30
Add 9x to both sides.
-30=-30
Combine -9x and 9x to get 0.
\text{true}
Compare -30 and -30.
x\in \mathrm{C}
This is true for any x.
x-10\left(x+3\right)=12-3\left(x+14\right)-6x
Multiply both sides of the equation by 2.
x-10x-30=12-3\left(x+14\right)-6x
Use the distributive property to multiply -10 by x+3.
-9x-30=12-3\left(x+14\right)-6x
Combine x and -10x to get -9x.
-9x-30=12-3x-42-6x
Use the distributive property to multiply -3 by x+14.
-9x-30=-30-3x-6x
Subtract 42 from 12 to get -30.
-9x-30=-30-9x
Combine -3x and -6x to get -9x.
-9x-30+9x=-30
Add 9x to both sides.
-30=-30
Combine -9x and 9x to get 0.
\text{true}
Compare -30 and -30.
x\in \mathrm{R}
This is true for any x.
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Limits
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