6+4[-2(5x+4)+3(7x-25)]=

Solution for 6+4[-2(5x+4)+3(7x-25)]= equation:

Simplifying
6 + 4[-2(5x + 4) + 3(7x + -25)] = 0

Reorder the terms:
6 + 4[-2(4 + 5x) + 3(7x + -25)] = 0
6 + 4[(4 * -2 + 5x * -2) + 3(7x + -25)] = 0
6 + 4[(-8 + -10x) + 3(7x + -25)] = 0

Reorder the terms:
6 + 4[-8 + -10x + 3(-25 + 7x)] = 0
6 + 4[-8 + -10x + (-25 * 3 + 7x * 3)] = 0
6 + 4[-8 + -10x + (-75 + 21x)] = 0

Reorder the terms:
6 + 4[-8 + -75 + -10x + 21x] = 0

Combine like terms: -8 + -75 = -83
6 + 4[-83 + -10x + 21x] = 0

Combine like terms: -10x + 21x = 11x
6 + 4[-83 + 11x] = 0
6 + [-83 * 4 + 11x * 4] = 0
6 + [-332 + 44x] = 0

Combine like terms: 6 + -332 = -326
-326 + 44x = 0

Solving
-326 + 44x = 0

Solving for variable 'x'.

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

Add '326' to each side of the equation.
-326 + 326 + 44x = 0 + 326

Combine like terms: -326 + 326 = 0
0 + 44x = 0 + 326
44x = 0 + 326

Combine like terms: 0 + 326 = 326
44x = 326

Divide each side by '44'.
x = 7.409090909

Simplifying
x = 7.409090909