-[7x+(6x+1)]=4-(5x+8)

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Solution for -[7x+(6x+1)]=4-(5x+8) equation:


Simplifying
-1[7x + (6x + 1)] = 4 + -1(5x + 8)

Reorder the terms:
-1[7x + (1 + 6x)] = 4 + -1(5x + 8)

Remove parenthesis around (1 + 6x)
-1[7x + 1 + 6x] = 4 + -1(5x + 8)

Reorder the terms:
-1[1 + 7x + 6x] = 4 + -1(5x + 8)

Combine like terms: 7x + 6x = 13x
-1[1 + 13x] = 4 + -1(5x + 8)
[1 * -1 + 13x * -1] = 4 + -1(5x + 8)
[-1 + -13x] = 4 + -1(5x + 8)

Reorder the terms:
-1 + -13x = 4 + -1(8 + 5x)
-1 + -13x = 4 + (8 * -1 + 5x * -1)
-1 + -13x = 4 + (-8 + -5x)

Combine like terms: 4 + -8 = -4
-1 + -13x = -4 + -5x

Solving
-1 + -13x = -4 + -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.
-1 + -13x + 5x = -4 + -5x + 5x

Combine like terms: -13x + 5x = -8x
-1 + -8x = -4 + -5x + 5x

Combine like terms: -5x + 5x = 0
-1 + -8x = -4 + 0
-1 + -8x = -4

Add '1' to each side of the equation.
-1 + 1 + -8x = -4 + 1

Combine like terms: -1 + 1 = 0
0 + -8x = -4 + 1
-8x = -4 + 1

Combine like terms: -4 + 1 = -3
-8x = -3

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375

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