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

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

Solve for x

$$x = \frac{9}{2} = 4\frac{1}{2} = 4.5$$

Steps for Solving Linear Equation

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

$$6x+10+2=8+2\left(4x-1\right)-3$$

Add 10 and 2 to get 12.

$$6x+12=8+2\left(4x-1\right)-3$$

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

$$6x+12=8+8x-2-3$$

Subtract 2 from 8 to get 6.

$$6x+12=6+8x-3$$

Subtract 3 from 6 to get 3.

$$6x+12=3+8x$$

Subtract 8x from both sides.

$$6x+12-8x=3$$

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

$$-2x+12=3$$

Subtract 12 from both sides.

$$-2x=3-12$$

Subtract 12 from 3 to get -9.

$$-2x=-9$$

Divide both sides by -2.

$$x=\frac{-9}{-2}$$

Fraction \frac{-9}{-2} can be simplified to \frac{9}{2} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{9}{2}$$