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5\left(2x-1\right)=4\left(x+2\right)
Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by 5\left(x+2\right), the least common multiple of x+2,5.
10x-5=4\left(x+2\right)
Use the distributive property to multiply 5 by 2x-1.
10x-5=4x+8
Use the distributive property to multiply 4 by x+2.
10x-5-4x=8
Subtract 4x from both sides.
6x-5=8
Combine 10x and -4x to get 6x.
6x=8+5
Add 5 to both sides.
6x=13
Add 8 and 5 to get 13.
x=\frac{13}{6}
Divide both sides by 6.