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7^{4}\left(3x-5\right)=4x+2
Multiply both sides of the equation by 2.
2401\left(3x-5\right)=4x+2
Calculate 7 to the power of 4 and get 2401.
7203x-12005=4x+2
Use the distributive property to multiply 2401 by 3x-5.
7203x-12005-4x=2
Subtract 4x from both sides.
7199x-12005=2
Combine 7203x and -4x to get 7199x.
7199x=2+12005
Add 12005 to both sides.
7199x=12007
Add 2 and 12005 to get 12007.
x=\frac{12007}{7199}
Divide both sides by 7199.