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9\left(x-2\right)=4\left(0x+2\right)
Multiply both sides of the equation by 36, the least common multiple of 4,9.
9x-18=4\left(0x+2\right)
Use the distributive property to multiply 9 by x-2.
9x-18=4\left(0+2\right)
Anything times zero gives zero.
9x-18=4\times 2
Add 0 and 2 to get 2.
9x-18=8
Multiply 4 and 2 to get 8.
9x=8+18
Add 18 to both sides.
9x=26
Add 8 and 18 to get 26.
x=\frac{26}{9}
Divide both sides by 9.