Solve for x
x=6
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2\times 5x-3x=2\left(10\times 2+1\right)
Multiply both sides of the equation by 4, the least common multiple of 2,4.
10x-3x=2\left(10\times 2+1\right)
Multiply 2 and 5 to get 10.
7x=2\left(10\times 2+1\right)
Combine 10x and -3x to get 7x.
7x=2\left(20+1\right)
Multiply 10 and 2 to get 20.
7x=2\times 21
Add 20 and 1 to get 21.
7x=42
Multiply 2 and 21 to get 42.
x=\frac{42}{7}
Divide both sides by 7.
x=6
Divide 42 by 7 to get 6.
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