Solve 6+8(x-1)=2(3x+4)

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

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by x-1.

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

Subtract 8 from 6 to get -2.

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

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

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

Subtract 6x from both sides.

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

Combine 8x and -6x to get 2x.

$$-2+2x=8$$

Add 2 to both sides.

$$2x=8+2$$

Add 8 and 2 to get 10.

$$2x=10$$

Divide both sides by 2.

$$x=\frac{10}{2}$$

Divide 10 by 2 to get 5.

$$x=5$$