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

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

Solve for x

$$x=\frac{4}{5}=0.8$$

Steps for Solving Linear Equation

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

$$3x-3-4\left(2x-3\right)=5$$

Use the distributive property to multiply -4 by 2x-3.

$$3x-3-8x+12=5$$

Combine 3x and -8x to get -5x.

$$-5x-3+12=5$$

Add -3 and 12 to get 9.

$$-5x+9=5$$

Subtract 9 from both sides.

$$-5x=5-9$$

Subtract 9 from 5 to get -4.

$$-5x=-4$$

Divide both sides by -5.

$$x=\frac{-4}{-5}$$

Fraction \frac{-4}{-5} can be simplified to \frac{4}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{4}{5}$$