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4\left(x-2\right)+5x=80
Multiply both sides of the equation by 20, the least common multiple of 5,4.
4x-8+5x=80
Use the distributive property to multiply 4 by x-2.
9x-8=80
Combine 4x and 5x to get 9x.
9x=80+8
Add 8 to both sides.
9x=88
Add 80 and 8 to get 88.
x=\frac{88}{9}
Divide both sides by 9.