-[4x-(12x+1)]=1+(7x+4)

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Solution for -[4x-(12x+1)]=1+(7x+4) equation:


Simplifying
-1[4x + -1(12x + 1)] = 1 + (7x + 4)

Reorder the terms:
-1[4x + -1(1 + 12x)] = 1 + (7x + 4)
-1[4x + (1 * -1 + 12x * -1)] = 1 + (7x + 4)
-1[4x + (-1 + -12x)] = 1 + (7x + 4)

Reorder the terms:
-1[-1 + 4x + -12x] = 1 + (7x + 4)

Combine like terms: 4x + -12x = -8x
-1[-1 + -8x] = 1 + (7x + 4)
[-1 * -1 + -8x * -1] = 1 + (7x + 4)
[1 + 8x] = 1 + (7x + 4)

Reorder the terms:
1 + 8x = 1 + (4 + 7x)

Remove parenthesis around (4 + 7x)
1 + 8x = 1 + 4 + 7x

Combine like terms: 1 + 4 = 5
1 + 8x = 5 + 7x

Solving
1 + 8x = 5 + 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 + 8x + -7x = 5 + 7x + -7x

Combine like terms: 8x + -7x = 1x
1 + 1x = 5 + 7x + -7x

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

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

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

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

Divide each side by '1'.
x = 4

Simplifying
x = 4

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