Solve 3{2x-6[5x-3(2x-5)-8]+35}=4(2x-1)-1

$$3 \{ 2 x - 6 [ 5 x - 3 ( 2 x - 5 ) - 8 ] + 35 \} = 4 ( 2 x - 1 ) - 1$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 2x-5.

$$3\left(2x-6\left(5x-6x+15-8\right)+35\right)=4\left(2x-1\right)-1$$

Combine 5x and -6x to get -x.

$$3\left(2x-6\left(-x+15-8\right)+35\right)=4\left(2x-1\right)-1$$

Subtract 8 from 15 to get 7.

$$3\left(2x-6\left(-x+7\right)+35\right)=4\left(2x-1\right)-1$$

Use the distributive property to multiply -6 by -x+7.

$$3\left(2x+6x-42+35\right)=4\left(2x-1\right)-1$$

Combine 2x and 6x to get 8x.

$$3\left(8x-42+35\right)=4\left(2x-1\right)-1$$

Add -42 and 35 to get -7.

$$3\left(8x-7\right)=4\left(2x-1\right)-1$$

Use the distributive property to multiply 3 by 8x-7.

$$24x-21=4\left(2x-1\right)-1$$

Use the distributive property to multiply 4 by 2x-1.

$$24x-21=8x-4-1$$

Subtract 1 from -4 to get -5.

$$24x-21=8x-5$$

Subtract 8x from both sides.

$$24x-21-8x=-5$$

Combine 24x and -8x to get 16x.

$$16x-21=-5$$

Add 21 to both sides.

$$16x=-5+21$$

Add -5 and 21 to get 16.

$$16x=16$$

Divide both sides by 16.

$$x=\frac{16}{16}$$

Divide 16 by 16 to get 1.

$$x=1$$