Solve for x
x = \frac{25}{4} = 6\frac{1}{4} = 6.25
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2\left(5x-2\right)=3\left(2x+7\right)
Multiply both sides of the equation by 6, the least common multiple of 3,2.
10x-4=3\left(2x+7\right)
Use the distributive property to multiply 2 by 5x-2.
10x-4=6x+21
Use the distributive property to multiply 3 by 2x+7.
10x-4-6x=21
Subtract 6x from both sides.
4x-4=21
Combine 10x and -6x to get 4x.
4x=21+4
Add 4 to both sides.
4x=25
Add 21 and 4 to get 25.
x=\frac{25}{4}
Divide both sides by 4.
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