4(x-3)+2=3-(x+5)+x-5

Solution for 4(x-3)+2=3-(x+5)+x-5 equation:

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

Reorder the terms:
4(-3 + x) + 2 = 3 + -1(x + 5) + x + -5
(-3 * 4 + x * 4) + 2 = 3 + -1(x + 5) + x + -5
(-12 + 4x) + 2 = 3 + -1(x + 5) + x + -5

Reorder the terms:
-12 + 2 + 4x = 3 + -1(x + 5) + x + -5

Combine like terms: -12 + 2 = -10
-10 + 4x = 3 + -1(x + 5) + x + -5

Reorder the terms:
-10 + 4x = 3 + -1(5 + x) + x + -5
-10 + 4x = 3 + (5 * -1 + x * -1) + x + -5
-10 + 4x = 3 + (-5 + -1x) + x + -5

Reorder the terms:
-10 + 4x = 3 + -5 + -5 + -1x + x

Combine like terms: 3 + -5 = -2
-10 + 4x = -2 + -5 + -1x + x

Combine like terms: -2 + -5 = -7
-10 + 4x = -7 + -1x + x

Combine like terms: -1x + x = 0
-10 + 4x = -7 + 0
-10 + 4x = -7

Solving
-10 + 4x = -7

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 4x = -7 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = -7 + 10
4x = -7 + 10

Combine like terms: -7 + 10 = 3
4x = 3

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75