Solve for x
x=4
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3x-5=7\left(-x+5\right)
Variable x cannot be equal to 5 since division by zero is not defined. Multiply both sides of the equation by -x+5.
3x-5=-7x+35
Use the distributive property to multiply 7 by -x+5.
3x-5+7x=35
Add 7x to both sides.
10x-5=35
Combine 3x and 7x to get 10x.
10x=35+5
Add 5 to both sides.
10x=40
Add 35 and 5 to get 40.
x=\frac{40}{10}
Divide both sides by 10.
x=4
Divide 40 by 10 to get 4.
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