Solve for x
x = \frac{37}{10} = 3\frac{7}{10} = 3.7
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7\left(2x+3\right)=8\left(3x-2\right)
Multiply both sides of the equation by 56, the least common multiple of 8,7.
14x+21=8\left(3x-2\right)
Use the distributive property to multiply 7 by 2x+3.
14x+21=24x-16
Use the distributive property to multiply 8 by 3x-2.
14x+21-24x=-16
Subtract 24x from both sides.
-10x+21=-16
Combine 14x and -24x to get -10x.
-10x=-16-21
Subtract 21 from both sides.
-10x=-37
Subtract 21 from -16 to get -37.
x=\frac{-37}{-10}
Divide both sides by -10.
x=\frac{37}{10}
Fraction \frac{-37}{-10} can be simplified to \frac{37}{10} by removing the negative sign from both the numerator and the denominator.
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