Solve for x
x = \frac{107}{9} = 11\frac{8}{9} \approx 11.888888889
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7\left(x-2\right)-6\left(7-5x\right)=30+7\left(4x+3\right)
Multiply both sides of the equation by 42, the least common multiple of 6,7.
7x-14-6\left(7-5x\right)=30+7\left(4x+3\right)
Use the distributive property to multiply 7 by x-2.
7x-14-42+30x=30+7\left(4x+3\right)
Use the distributive property to multiply -6 by 7-5x.
7x-56+30x=30+7\left(4x+3\right)
Subtract 42 from -14 to get -56.
37x-56=30+7\left(4x+3\right)
Combine 7x and 30x to get 37x.
37x-56=30+28x+21
Use the distributive property to multiply 7 by 4x+3.
37x-56=51+28x
Add 30 and 21 to get 51.
37x-56-28x=51
Subtract 28x from both sides.
9x-56=51
Combine 37x and -28x to get 9x.
9x=51+56
Add 56 to both sides.
9x=107
Add 51 and 56 to get 107.
x=\frac{107}{9}
Divide both sides by 9.
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Limits
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