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4x-6-3\left(5-x\right)=-7
Use the distributive property to multiply 2 by 2x-3.
4x-6-15+3x=-7
Use the distributive property to multiply -3 by 5-x.
4x-21+3x=-7
Subtract 15 from -6 to get -21.
7x-21=-7
Combine 4x and 3x to get 7x.
7x=-7+21
Add 21 to both sides.
7x=14
Add -7 and 21 to get 14.
x=\frac{14}{7}
Divide both sides by 7.
x=2
Divide 14 by 7 to get 2.