Solve 6(2x+1)-8=5(1+2x)-9

$$6 ( 2 x + 1 ) - 8 = 5 ( 1 + 2 x ) - 9$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 2x+1.

$$12x+6-8=5\left(1+2x\right)-9$$

Subtract 8 from 6 to get -2.

$$12x-2=5\left(1+2x\right)-9$$

Use the distributive property to multiply 5 by 1+2x.

$$12x-2=5+10x-9$$

Subtract 9 from 5 to get -4.

$$12x-2=-4+10x$$

Subtract 10x from both sides.

$$12x-2-10x=-4$$

Combine 12x and -10x to get 2x.

$$2x-2=-4$$

Add 2 to both sides.

$$2x=-4+2$$

Add -4 and 2 to get -2.

$$2x=-2$$

Divide both sides by 2.

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

Divide -2 by 2 to get -1.

$$x=-1$$