3(4X-5)-2(2X+4)=1

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Solution for 3(4X-5)-2(2X+4)=1 equation: 


Simplifying
3(4X + -5) + -2(2X + 4) = 1

Reorder the terms:
3(-5 + 4X) + -2(2X + 4) = 1
(-5 * 3 + 4X * 3) + -2(2X + 4) = 1
(-15 + 12X) + -2(2X + 4) = 1

Reorder the terms:
-15 + 12X + -2(4 + 2X) = 1
-15 + 12X + (4 * -2 + 2X * -2) = 1
-15 + 12X + (-8 + -4X) = 1

Reorder the terms:
-15 + -8 + 12X + -4X = 1

Combine like terms: -15 + -8 = -23
-23 + 12X + -4X = 1

Combine like terms: 12X + -4X = 8X
-23 + 8X = 1

Solving
-23 + 8X = 1

Solving for variable 'X'.

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

Add '23' to each side of the equation.
-23 + 23 + 8X = 1 + 23

Combine like terms: -23 + 23 = 0
0 + 8X = 1 + 23
8X = 1 + 23

Combine like terms: 1 + 23 = 24
8X = 24

Divide each side by '8'.
X = 3

Simplifying
X = 3

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