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4\left(x+5\right)+3x=0
Multiply both sides of the equation by 12, the least common multiple of 3,4.
4x+20+3x=0
Use the distributive property to multiply 4 by x+5.
7x+20=0
Combine 4x and 3x to get 7x.
7x=-20
Subtract 20 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-20}{7}
Divide both sides by 7.
x=-\frac{20}{7}
Fraction \frac{-20}{7} can be rewritten as -\frac{20}{7} by extracting the negative sign.