Solve 5(2x+1)=4(3x-1)

$$5 ( 2 x + 1 ) = 4 ( 3 x - 1 )$$

Solve for x

$$x = \frac{9}{2} = 4\frac{1}{2} = 4.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 2x+1.

$$10x+5=4\left(3x-1\right)$$

Use the distributive property to multiply 4 by 3x-1.

$$10x+5=12x-4$$

Subtract 12x from both sides.

$$10x+5-12x=-4$$

Combine 10x and -12x to get -2x.

$$-2x+5=-4$$

Subtract 5 from both sides.

$$-2x=-4-5$$

Subtract 5 from -4 to get -9.

$$-2x=-9$$

Divide both sides by -2.

$$x=\frac{-9}{-2}$$

Fraction \frac{-9}{-2} can be simplified to \frac{9}{2} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{9}{2}$$