2x-3((4x+7)-2(x+3))=5(x-7)-1

Solution for 2x-3((4x+7)-2(x+3))=5(x-7)-1 equation:

Simplifying
2x + -3((4x + 7) + -2(x + 3)) = 5(x + -7) + -1

Reorder the terms:
2x + -3((7 + 4x) + -2(x + 3)) = 5(x + -7) + -1

Remove parenthesis around (7 + 4x)
2x + -3(7 + 4x + -2(x + 3)) = 5(x + -7) + -1

Reorder the terms:
2x + -3(7 + 4x + -2(3 + x)) = 5(x + -7) + -1
2x + -3(7 + 4x + (3 * -2 + x * -2)) = 5(x + -7) + -1
2x + -3(7 + 4x + (-6 + -2x)) = 5(x + -7) + -1

Reorder the terms:
2x + -3(7 + -6 + 4x + -2x) = 5(x + -7) + -1

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

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

Reorder the terms:
-3 + 2x + -6x = 5(x + -7) + -1

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

Reorder the terms:
-3 + -4x = 5(-7 + x) + -1
-3 + -4x = (-7 * 5 + x * 5) + -1
-3 + -4x = (-35 + 5x) + -1

Reorder the terms:
-3 + -4x = -35 + -1 + 5x

Combine like terms: -35 + -1 = -36
-3 + -4x = -36 + 5x

Solving
-3 + -4x = -36 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-3 + -4x + -5x = -36 + 5x + -5x

Combine like terms: -4x + -5x = -9x
-3 + -9x = -36 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + -9x = -36 + 0
-3 + -9x = -36

Add '3' to each side of the equation.
-3 + 3 + -9x = -36 + 3

Combine like terms: -3 + 3 = 0
0 + -9x = -36 + 3
-9x = -36 + 3

Combine like terms: -36 + 3 = -33
-9x = -33

Divide each side by '-9'.
x = 3.666666667

Simplifying
x = 3.666666667