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

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

Solve for x

$$x = \frac{13}{3} = 4\frac{1}{3} \approx 4.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 3x-4.

$$15x-20-2\left(x-1\right)=5\left(2x-1\right)$$

Use the distributive property to multiply -2 by x-1.

$$15x-20-2x+2=5\left(2x-1\right)$$

Combine 15x and -2x to get 13x.

$$13x-20+2=5\left(2x-1\right)$$

Add -20 and 2 to get -18.

$$13x-18=5\left(2x-1\right)$$

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

$$13x-18=10x-5$$

Subtract 10x from both sides.

$$13x-18-10x=-5$$

Combine 13x and -10x to get 3x.

$$3x-18=-5$$

Add 18 to both sides.

$$3x=-5+18$$

Add -5 and 18 to get 13.

$$3x=13$$

Divide both sides by 3.

$$x=\frac{13}{3}$$