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

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


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

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

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

Combine like terms: -5 + 5 = 0
0 + -4x + 4x = -1(-7 + 3x) + x + 1
-4x + 4x = -1(-7 + 3x) + x + 1

Combine like terms: -4x + 4x = 0
0 = -1(-7 + 3x) + x + 1
0 = (-7 * -1 + 3x * -1) + x + 1
0 = (7 + -3x) + x + 1

Reorder the terms:
0 = 7 + 1 + -3x + x

Combine like terms: 7 + 1 = 8
0 = 8 + -3x + x

Combine like terms: -3x + x = -2x
0 = 8 + -2x

Solving
0 = 8 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
0 + 2x = 8 + -2x + 2x
Remove the zero:
2x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
2x = 8 + 0
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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