2-3(x-5)=3+(x*1)

Solution for 2-3(x-5)=3+(x*1) equation:

Simplifying
2 + -3(x + -5) = 3 + (x * 1)

Reorder the terms:
2 + -3(-5 + x) = 3 + (x * 1)
2 + (-5 * -3 + x * -3) = 3 + (x * 1)
2 + (15 + -3x) = 3 + (x * 1)

Combine like terms: 2 + 15 = 17
17 + -3x = 3 + (x * 1)

Reorder the terms for easier multiplication:
17 + -3x = 3 + (1x)

Solving
17 + -3x = 3 + (1x)

Solving for variable 'x'.

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

Add '(-1x)' to each side of the equation.
17 + -3x + (-1x) = 3 + (1x) + (-1x)

Combine like terms: -3x + (-1x) = -4x
17 + -4x = 3 + (1x) + (-1x)

Combine like terms: (1x) + (-1x) = 0
17 + -4x = 3 + 0
17 + -4x = 3

Add '-17' to each side of the equation.
17 + -17 + -4x = 3 + -17

Combine like terms: 17 + -17 = 0
0 + -4x = 3 + -17
-4x = 3 + -17

Combine like terms: 3 + -17 = -14
-4x = -14

Divide each side by '-4'.
x = 3.5

Simplifying
x = 3.5