4[5x-4(X-1)]=3[4(X+1)]

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Solution for 4[5x-4(X-1)]=3[4(X+1)] equation:


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

Reorder the terms:
4[5x + -4(-1 + X)] = 3[4(X + 1)]
4[5x + (-1 * -4 + X * -4)] = 3[4(X + 1)]
4[5x + (4 + -4X)] = 3[4(X + 1)]

Reorder the terms:
4[4 + -4X + 5x] = 3[4(X + 1)]
[4 * 4 + -4X * 4 + 5x * 4] = 3[4(X + 1)]
[16 + -16X + 20x] = 3[4(X + 1)]

Reorder the terms:
16 + -16X + 20x = 3[4(1 + X)]
16 + -16X + 20x = 3[(1 * 4 + X * 4)]
16 + -16X + 20x = 3[(4 + 4X)]
16 + -16X + 20x = [4 * 3 + 4X * 3]
16 + -16X + 20x = [12 + 12X]

Solving
16 + -16X + 20x = 12 + 12X

Solving for variable 'X'.

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

Add '-12X' to each side of the equation.
16 + -16X + -12X + 20x = 12 + 12X + -12X

Combine like terms: -16X + -12X = -28X
16 + -28X + 20x = 12 + 12X + -12X

Combine like terms: 12X + -12X = 0
16 + -28X + 20x = 12 + 0
16 + -28X + 20x = 12

Add '-16' to each side of the equation.
16 + -28X + -16 + 20x = 12 + -16

Reorder the terms:
16 + -16 + -28X + 20x = 12 + -16

Combine like terms: 16 + -16 = 0
0 + -28X + 20x = 12 + -16
-28X + 20x = 12 + -16

Combine like terms: 12 + -16 = -4
-28X + 20x = -4

Add '-20x' to each side of the equation.
-28X + 20x + -20x = -4 + -20x

Combine like terms: 20x + -20x = 0
-28X + 0 = -4 + -20x
-28X = -4 + -20x

Divide each side by '-28'.
X = 0.1428571429 + 0.7142857143x

Simplifying
X = 0.1428571429 + 0.7142857143x

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