-[5x-(7x+2)]=4-(8x-1)

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Solution for -[5x-(7x+2)]=4-(8x-1) equation:


Simplifying
-1[5x + -1(7x + 2)] = 4 + -1(8x + -1)

Reorder the terms:
-1[5x + -1(2 + 7x)] = 4 + -1(8x + -1)
-1[5x + (2 * -1 + 7x * -1)] = 4 + -1(8x + -1)
-1[5x + (-2 + -7x)] = 4 + -1(8x + -1)

Reorder the terms:
-1[-2 + 5x + -7x] = 4 + -1(8x + -1)

Combine like terms: 5x + -7x = -2x
-1[-2 + -2x] = 4 + -1(8x + -1)
[-2 * -1 + -2x * -1] = 4 + -1(8x + -1)
[2 + 2x] = 4 + -1(8x + -1)

Reorder the terms:
2 + 2x = 4 + -1(-1 + 8x)
2 + 2x = 4 + (-1 * -1 + 8x * -1)
2 + 2x = 4 + (1 + -8x)

Combine like terms: 4 + 1 = 5
2 + 2x = 5 + -8x

Solving
2 + 2x = 5 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
2 + 2x + 8x = 5 + -8x + 8x

Combine like terms: 2x + 8x = 10x
2 + 10x = 5 + -8x + 8x

Combine like terms: -8x + 8x = 0
2 + 10x = 5 + 0
2 + 10x = 5

Add '-2' to each side of the equation.
2 + -2 + 10x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 10x = 5 + -2
10x = 5 + -2

Combine like terms: 5 + -2 = 3
10x = 3

Divide each side by '10'.
x = 0.3

Simplifying
x = 0.3

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