Solve for x
x = \frac{48}{11} = 4\frac{4}{11} \approx 4.363636364
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7\left(3x-7\right)+7\left(3x-5\right)=4\left(5x+3\right)
Multiply both sides of the equation by 28, the least common multiple of 4,7.
21x-49+7\left(3x-5\right)=4\left(5x+3\right)
Use the distributive property to multiply 7 by 3x-7.
21x-49+21x-35=4\left(5x+3\right)
Use the distributive property to multiply 7 by 3x-5.
42x-49-35=4\left(5x+3\right)
Combine 21x and 21x to get 42x.
42x-84=4\left(5x+3\right)
Subtract 35 from -49 to get -84.
42x-84=20x+12
Use the distributive property to multiply 4 by 5x+3.
42x-84-20x=12
Subtract 20x from both sides.
22x-84=12
Combine 42x and -20x to get 22x.
22x=12+84
Add 84 to both sides.
22x=96
Add 12 and 84 to get 96.
x=\frac{96}{22}
Divide both sides by 22.
x=\frac{48}{11}
Reduce the fraction \frac{96}{22} to lowest terms by extracting and canceling out 2.
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