3+2[4x-3(5x-x)]=3(x-20)

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Solution for 3+2[4x-3(5x-x)]=3(x-20) equation:


Simplifying
3 + 2[4x + -3(5x + -1x)] = 3(x + -20)

Combine like terms: 5x + -1x = 4x
3 + 2[4x + -3(4x)] = 3(x + -20)

Remove parenthesis around (4x)
3 + 2[4x + -3 * 4x] = 3(x + -20)

Multiply -3 * 4
3 + 2[4x + -12x] = 3(x + -20)

Combine like terms: 4x + -12x = -8x
3 + 2[-8x] = 3(x + -20)

Remove brackets around [-8x]
3 + 2 * -8x = 3(x + -20)

Multiply 2 * -8
3 + -16x = 3(x + -20)

Reorder the terms:
3 + -16x = 3(-20 + x)
3 + -16x = (-20 * 3 + x * 3)
3 + -16x = (-60 + 3x)

Solving
3 + -16x = -60 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
3 + -16x + -3x = -60 + 3x + -3x

Combine like terms: -16x + -3x = -19x
3 + -19x = -60 + 3x + -3x

Combine like terms: 3x + -3x = 0
3 + -19x = -60 + 0
3 + -19x = -60

Add '-3' to each side of the equation.
3 + -3 + -19x = -60 + -3

Combine like terms: 3 + -3 = 0
0 + -19x = -60 + -3
-19x = -60 + -3

Combine like terms: -60 + -3 = -63
-19x = -63

Divide each side by '-19'.
x = 3.315789474

Simplifying
x = 3.315789474

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