Solve x+3(x-1)=6-4(2x-3)

$$x + 3 ( x - 1 ) = 6 - 4 ( 2 x - 3 )$$

Solve for x

$$x = \frac{7}{4} = 1\frac{3}{4} = 1.75$$

Steps for Solving Linear Equation

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

$$x+3x-3=6-4\left(2x-3\right)$$

Combine x and 3x to get 4x.

$$4x-3=6-4\left(2x-3\right)$$

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

$$4x-3=6-8x+12$$

Add 6 and 12 to get 18.

$$4x-3=18-8x$$

Add 8x to both sides.

$$4x-3+8x=18$$

Combine 4x and 8x to get 12x.

$$12x-3=18$$

Add 3 to both sides.

$$12x=18+3$$

Add 18 and 3 to get 21.

$$12x=21$$

Divide both sides by 12.

$$x=\frac{21}{12}$$

Reduce the fraction \frac{21}{12} to lowest terms by extracting and canceling out 3.

$$x=\frac{7}{4}$$