Solve for x
x=1
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5\left(2x+1\right)=15-3\left(x-1\right)
Multiply both sides of the equation by 15, the least common multiple of 3,5.
10x+5=15-3\left(x-1\right)
Use the distributive property to multiply 5 by 2x+1.
10x+5=15-3x+3
Use the distributive property to multiply -3 by x-1.
10x+5=18-3x
Add 15 and 3 to get 18.
10x+5+3x=18
Add 3x to both sides.
13x+5=18
Combine 10x and 3x to get 13x.
13x=18-5
Subtract 5 from both sides.
13x=13
Subtract 5 from 18 to get 13.
x=\frac{13}{13}
Divide both sides by 13.
x=1
Divide 13 by 13 to get 1.
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