Solve for x
x=14
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\left(2x-52\right)\times 4200=-3x\times 2400
Variable x cannot be equal to any of the values 0,26 since division by zero is not defined. Multiply both sides of the equation by 120x\left(x-26\right), the least common multiple of 60x,\left(26-x\right)\times 40.
8400x-218400=-3x\times 2400
Use the distributive property to multiply 2x-52 by 4200.
8400x-218400=-7200x
Multiply -3 and 2400 to get -7200.
8400x-218400+7200x=0
Add 7200x to both sides.
15600x-218400=0
Combine 8400x and 7200x to get 15600x.
15600x=218400
Add 218400 to both sides. Anything plus zero gives itself.
x=\frac{218400}{15600}
Divide both sides by 15600.
x=14
Divide 218400 by 15600 to get 14.
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