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

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 4 by 1-2x.

$$2x-6=4-8x+3\left(x-1\right)$$

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

$$2x-6=4-8x+3x-3$$

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

$$2x-6=4-5x-3$$

Subtract 3 from 4 to get 1.

$$2x-6=1-5x$$

Add 5x to both sides.

$$2x-6+5x=1$$

Combine 2x and 5x to get 7x.

$$7x-6=1$$

Add 6 to both sides.

$$7x=1+6$$

Add 1 and 6 to get 7.

$$7x=7$$

Divide both sides by 7.

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

Divide 7 by 7 to get 1.

$$x=1$$