Solve 3x+4(x-1)=8+2(x-2)

$$3 x + 4 ( x - 1 ) = 8 + 2 ( x - 2 )$$

Solve for x

$$x = \frac{8}{5} = 1\frac{3}{5} = 1.6$$

Steps for Solving Linear Equation

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

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

Combine 3x and 4x to get 7x.

$$7x-4=8+2\left(x-2\right)$$

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

$$7x-4=8+2x-4$$

Subtract 4 from 8 to get 4.

$$7x-4=4+2x$$

Subtract 2x from both sides.

$$7x-4-2x=4$$

Combine 7x and -2x to get 5x.

$$5x-4=4$$

Add 4 to both sides.

$$5x=4+4$$

Add 4 and 4 to get 8.

$$5x=8$$

Divide both sides by 5.

$$x=\frac{8}{5}$$