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

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

Simplifying
x + -5 + x + 6 = 3(7x + -4) + -7(6 + 2x)

Reorder the terms:
-5 + 6 + x + x = 3(7x + -4) + -7(6 + 2x)

Combine like terms: -5 + 6 = 1
1 + x + x = 3(7x + -4) + -7(6 + 2x)

Combine like terms: x + x = 2x
1 + 2x = 3(7x + -4) + -7(6 + 2x)

Reorder the terms:
1 + 2x = 3(-4 + 7x) + -7(6 + 2x)
1 + 2x = (-4 * 3 + 7x * 3) + -7(6 + 2x)
1 + 2x = (-12 + 21x) + -7(6 + 2x)
1 + 2x = -12 + 21x + (6 * -7 + 2x * -7)
1 + 2x = -12 + 21x + (-42 + -14x)

Reorder the terms:
1 + 2x = -12 + -42 + 21x + -14x

Combine like terms: -12 + -42 = -54
1 + 2x = -54 + 21x + -14x

Combine like terms: 21x + -14x = 7x
1 + 2x = -54 + 7x

Solving
1 + 2x = -54 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
1 + 2x + -7x = -54 + 7x + -7x

Combine like terms: 2x + -7x = -5x
1 + -5x = -54 + 7x + -7x

Combine like terms: 7x + -7x = 0
1 + -5x = -54 + 0
1 + -5x = -54

Add '-1' to each side of the equation.
1 + -1 + -5x = -54 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = -54 + -1
-5x = -54 + -1

Combine like terms: -54 + -1 = -55
-5x = -55

Divide each side by '-5'.
x = 11

Simplifying
x = 11