-[4x-(9x+2)]=2+(4x+1)

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Solution for -[4x-(9x+2)]=2+(4x+1) equation:


Simplifying
-1[4x + -1(9x + 2)] = 2 + (4x + 1)

Reorder the terms:
-1[4x + -1(2 + 9x)] = 2 + (4x + 1)
-1[4x + (2 * -1 + 9x * -1)] = 2 + (4x + 1)
-1[4x + (-2 + -9x)] = 2 + (4x + 1)

Reorder the terms:
-1[-2 + 4x + -9x] = 2 + (4x + 1)

Combine like terms: 4x + -9x = -5x
-1[-2 + -5x] = 2 + (4x + 1)
[-2 * -1 + -5x * -1] = 2 + (4x + 1)
[2 + 5x] = 2 + (4x + 1)

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

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

Combine like terms: 2 + 1 = 3
2 + 5x = 3 + 4x

Solving
2 + 5x = 3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + 5x + -4x = 3 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
2 + 1x = 3 + 0
2 + 1x = 3

Add '-2' to each side of the equation.
2 + -2 + 1x = 3 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 3 + -2
1x = 3 + -2

Combine like terms: 3 + -2 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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