8+3(x-8)=4-6(x-1)

Solution for 8+3(x-8)=4-6(x-1) equation:

Simplifying
8 + 3(x + -8) = 4 + -6(x + -1)

Reorder the terms:
8 + 3(-8 + x) = 4 + -6(x + -1)
8 + (-8 * 3 + x * 3) = 4 + -6(x + -1)
8 + (-24 + 3x) = 4 + -6(x + -1)

Combine like terms: 8 + -24 = -16
-16 + 3x = 4 + -6(x + -1)

Reorder the terms:
-16 + 3x = 4 + -6(-1 + x)
-16 + 3x = 4 + (-1 * -6 + x * -6)
-16 + 3x = 4 + (6 + -6x)

Combine like terms: 4 + 6 = 10
-16 + 3x = 10 + -6x

Solving
-16 + 3x = 10 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-16 + 3x + 6x = 10 + -6x + 6x

Combine like terms: 3x + 6x = 9x
-16 + 9x = 10 + -6x + 6x

Combine like terms: -6x + 6x = 0
-16 + 9x = 10 + 0
-16 + 9x = 10

Add '16' to each side of the equation.
-16 + 16 + 9x = 10 + 16

Combine like terms: -16 + 16 = 0
0 + 9x = 10 + 16
9x = 10 + 16

Combine like terms: 10 + 16 = 26
9x = 26

Divide each side by '9'.
x = 2.888888889

Simplifying
x = 2.888888889