16x-[3x-(6x-9x)]=30x+[-(3x+2)-(x+3)]

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Solution for 16x-[3x-(6x-9x)]=30x+[-(3x+2)-(x+3)] equation:


Simplifying
16x + -1[3x + -1(6x + -9x)] = 30x + [-1(3x + 2) + -1(x + 3)]

Combine like terms: 6x + -9x = -3x
16x + -1[3x + -1(-3x)] = 30x + [-1(3x + 2) + -1(x + 3)]

Remove parenthesis around (-3x)
16x + -1[3x + -1 * -3x] = 30x + [-1(3x + 2) + -1(x + 3)]

Multiply -1 * -3
16x + -1[3x + 3x] = 30x + [-1(3x + 2) + -1(x + 3)]

Combine like terms: 3x + 3x = 6x
16x + -1[6x] = 30x + [-1(3x + 2) + -1(x + 3)]

Remove brackets around [6x]
16x + -1 * 6x = 30x + [-1(3x + 2) + -1(x + 3)]

Multiply -1 * 6
16x + -6x = 30x + [-1(3x + 2) + -1(x + 3)]

Combine like terms: 16x + -6x = 10x
10x = 30x + [-1(3x + 2) + -1(x + 3)]

Reorder the terms:
10x = 30x + [-1(2 + 3x) + -1(x + 3)]
10x = 30x + [(2 * -1 + 3x * -1) + -1(x + 3)]
10x = 30x + [(-2 + -3x) + -1(x + 3)]

Reorder the terms:
10x = 30x + [-2 + -3x + -1(3 + x)]
10x = 30x + [-2 + -3x + (3 * -1 + x * -1)]
10x = 30x + [-2 + -3x + (-3 + -1x)]

Reorder the terms:
10x = 30x + [-2 + -3 + -3x + -1x]

Combine like terms: -2 + -3 = -5
10x = 30x + [-5 + -3x + -1x]

Combine like terms: -3x + -1x = -4x
10x = 30x + [-5 + -4x]

Remove brackets around [-5 + -4x]
10x = 30x + -5 + -4x

Reorder the terms:
10x = -5 + 30x + -4x

Combine like terms: 30x + -4x = 26x
10x = -5 + 26x

Solving
10x = -5 + 26x

Solving for variable 'x'.

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

Add '-26x' to each side of the equation.
10x + -26x = -5 + 26x + -26x

Combine like terms: 10x + -26x = -16x
-16x = -5 + 26x + -26x

Combine like terms: 26x + -26x = 0
-16x = -5 + 0
-16x = -5

Divide each side by '-16'.
x = 0.3125

Simplifying
x = 0.3125

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