6+5(X-5)=2-8(X-5)

Solution for 6+5(X-5)=2-8(X-5) equation:

Simplifying
6 + 5(X + -5) = 2 + -8(X + -5)

Reorder the terms:
6 + 5(-5 + X) = 2 + -8(X + -5)
6 + (-5 * 5 + X * 5) = 2 + -8(X + -5)
6 + (-25 + 5X) = 2 + -8(X + -5)

Combine like terms: 6 + -25 = -19
-19 + 5X = 2 + -8(X + -5)

Reorder the terms:
-19 + 5X = 2 + -8(-5 + X)
-19 + 5X = 2 + (-5 * -8 + X * -8)
-19 + 5X = 2 + (40 + -8X)

Combine like terms: 2 + 40 = 42
-19 + 5X = 42 + -8X

Solving
-19 + 5X = 42 + -8X

Solving for variable 'X'.

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

Add '8X' to each side of the equation.
-19 + 5X + 8X = 42 + -8X + 8X

Combine like terms: 5X + 8X = 13X
-19 + 13X = 42 + -8X + 8X

Combine like terms: -8X + 8X = 0
-19 + 13X = 42 + 0
-19 + 13X = 42

Add '19' to each side of the equation.
-19 + 19 + 13X = 42 + 19

Combine like terms: -19 + 19 = 0
0 + 13X = 42 + 19
13X = 42 + 19

Combine like terms: 42 + 19 = 61
13X = 61

Divide each side by '13'.
X = 4.692307692

Simplifying
X = 4.692307692