Solve -6(4-8x)+2(2-9x)=23x+1

$$- 6 ( 4 - 8 x ) + 2 ( 2 - 9 x ) = 23 x + 1$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply -6 by 4-8x.

$$-24+48x+2\left(2-9x\right)=23x+1$$

Use the distributive property to multiply 2 by 2-9x.

$$-24+48x+4-18x=23x+1$$

Add -24 and 4 to get -20.

$$-20+48x-18x=23x+1$$

Combine 48x and -18x to get 30x.

$$-20+30x=23x+1$$

Subtract 23x from both sides.

$$-20+30x-23x=1$$

Combine 30x and -23x to get 7x.

$$-20+7x=1$$

Add 20 to both sides.

$$7x=1+20$$

Add 1 and 20 to get 21.

$$7x=21$$

Divide both sides by 7.

$$x=\frac{21}{7}$$

Divide 21 by 7 to get 3.

$$x=3$$