9+4(x-8)=1-2(x-2)

Solution for 9+4(x-8)=1-2(x-2) equation:

Simplifying
9 + 4(x + -8) = 1 + -2(x + -2)

Reorder the terms:
9 + 4(-8 + x) = 1 + -2(x + -2)
9 + (-8 * 4 + x * 4) = 1 + -2(x + -2)
9 + (-32 + 4x) = 1 + -2(x + -2)

Combine like terms: 9 + -32 = -23
-23 + 4x = 1 + -2(x + -2)

Reorder the terms:
-23 + 4x = 1 + -2(-2 + x)
-23 + 4x = 1 + (-2 * -2 + x * -2)
-23 + 4x = 1 + (4 + -2x)

Combine like terms: 1 + 4 = 5
-23 + 4x = 5 + -2x

Solving
-23 + 4x = 5 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
-23 + 4x + 2x = 5 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-23 + 6x = 5 + -2x + 2x

Combine like terms: -2x + 2x = 0
-23 + 6x = 5 + 0
-23 + 6x = 5

Add '23' to each side of the equation.
-23 + 23 + 6x = 5 + 23

Combine like terms: -23 + 23 = 0
0 + 6x = 5 + 23
6x = 5 + 23

Combine like terms: 5 + 23 = 28
6x = 28

Divide each side by '6'.
x = 4.666666667

Simplifying
x = 4.666666667