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5x+12+10x=8x+12-3x
Use the distributive property to multiply 4 by 3+2.5x.
15x+12=8x+12-3x
Combine 5x and 10x to get 15x.
15x+12=5x+12
Combine 8x and -3x to get 5x.
15x+12-5x=12
Subtract 5x from both sides.
10x+12=12
Combine 15x and -5x to get 10x.
10x=12-12
Subtract 12 from both sides.
10x=0
Subtract 12 from 12 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 10 is not equal to 0, x must be equal to 0.