Solve for x
x=0
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3\left(x-4\right)+12=-7x
Multiply both sides of the equation by 21, the least common multiple of 7,3.
3x-12+12=-7x
Use the distributive property to multiply 3 by x-4.
3x=-7x
Add -12 and 12 to get 0.
3x+7x=0
Add 7x to both sides.
10x=0
Combine 3x and 7x to get 10x.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 10 is not equal to 0, x must be equal to 0.
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