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

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

Solve for x

$$x=\frac{13}{15}\approx 0.866666667$$

Steps for Solving Linear Equation

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

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

Add 2 and 3 to get 5.

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

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

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

Subtract 12x from both sides.

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

Combine -3x and -12x to get -15x.

$$5-15x=-8$$

Subtract 5 from both sides.

$$-15x=-8-5$$

Subtract 5 from -8 to get -13.

$$-15x=-13$$

Divide both sides by -15.

$$x=\frac{-13}{-15}$$

Fraction \frac{-13}{-15} can be simplified to \frac{13}{15} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{13}{15}$$