6+-[3-x-(2x+5)+3(7-x)]=10(x-3+5)

Solution for 6+-[3-x-(2x+5)+3(7-x)]=10(x-3+5) equation:

Simplifying
6 + -1[3 + -1x + -1(2x + 5) + 3(7 + -1x)] = 10(x + -3 + 5)

Reorder the terms:
6 + -1[3 + -1x + -1(5 + 2x) + 3(7 + -1x)] = 10(x + -3 + 5)
6 + -1[3 + -1x + (5 * -1 + 2x * -1) + 3(7 + -1x)] = 10(x + -3 + 5)
6 + -1[3 + -1x + (-5 + -2x) + 3(7 + -1x)] = 10(x + -3 + 5)
6 + -1[3 + -1x + -5 + -2x + (7 * 3 + -1x * 3)] = 10(x + -3 + 5)
6 + -1[3 + -1x + -5 + -2x + (21 + -3x)] = 10(x + -3 + 5)

Reorder the terms:
6 + -1[3 + -5 + 21 + -1x + -2x + -3x] = 10(x + -3 + 5)

Combine like terms: 3 + -5 = -2
6 + -1[-2 + 21 + -1x + -2x + -3x] = 10(x + -3 + 5)

Combine like terms: -2 + 21 = 19
6 + -1[19 + -1x + -2x + -3x] = 10(x + -3 + 5)

Combine like terms: -1x + -2x = -3x
6 + -1[19 + -3x + -3x] = 10(x + -3 + 5)

Combine like terms: -3x + -3x = -6x
6 + -1[19 + -6x] = 10(x + -3 + 5)
6 + [19 * -1 + -6x * -1] = 10(x + -3 + 5)
6 + [-19 + 6x] = 10(x + -3 + 5)

Combine like terms: 6 + -19 = -13
-13 + 6x = 10(x + -3 + 5)

Reorder the terms:
-13 + 6x = 10(-3 + 5 + x)

Combine like terms: -3 + 5 = 2
-13 + 6x = 10(2 + x)
-13 + 6x = (2 * 10 + x * 10)
-13 + 6x = (20 + 10x)

Solving
-13 + 6x = 20 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-13 + 6x + -10x = 20 + 10x + -10x

Combine like terms: 6x + -10x = -4x
-13 + -4x = 20 + 10x + -10x

Combine like terms: 10x + -10x = 0
-13 + -4x = 20 + 0
-13 + -4x = 20

Add '13' to each side of the equation.
-13 + 13 + -4x = 20 + 13

Combine like terms: -13 + 13 = 0
0 + -4x = 20 + 13
-4x = 20 + 13

Combine like terms: 20 + 13 = 33
-4x = 33

Divide each side by '-4'.
x = -8.25

Simplifying
x = -8.25