Solve 4left(x+1right)-6=3left(5x-8right)

$$4 \left( x+1 \right) -6 = 3 \left( 5x-8 \right)$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$4x+4-6=3\left(5x-8\right)$$

Subtract 6 from 4 to get -2.

$$4x-2=3\left(5x-8\right)$$

Use the distributive property to multiply 3 by 5x-8.

$$4x-2=15x-24$$

Subtract 15x from both sides.

$$4x-2-15x=-24$$

Combine 4x and -15x to get -11x.

$$-11x-2=-24$$

Add 2 to both sides.

$$-11x=-24+2$$

Add -24 and 2 to get -22.

$$-11x=-22$$

Divide both sides by -11.

$$x=\frac{-22}{-11}$$

Divide -22 by -11 to get 2.

$$x=2$$