3(X-2)-5(2X-1)-2(3X-4)+10=6X+8

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Solution for 3(X-2)-5(2X-1)-2(3X-4)+10=6X+8 equation: 


Simplifying
3(X + -2) + -5(2X + -1) + -2(3X + -4) + 10 = 6X + 8

Reorder the terms:
3(-2 + X) + -5(2X + -1) + -2(3X + -4) + 10 = 6X + 8
(-2 * 3 + X * 3) + -5(2X + -1) + -2(3X + -4) + 10 = 6X + 8
(-6 + 3X) + -5(2X + -1) + -2(3X + -4) + 10 = 6X + 8

Reorder the terms:
-6 + 3X + -5(-1 + 2X) + -2(3X + -4) + 10 = 6X + 8
-6 + 3X + (-1 * -5 + 2X * -5) + -2(3X + -4) + 10 = 6X + 8
-6 + 3X + (5 + -10X) + -2(3X + -4) + 10 = 6X + 8

Reorder the terms:
-6 + 3X + 5 + -10X + -2(-4 + 3X) + 10 = 6X + 8
-6 + 3X + 5 + -10X + (-4 * -2 + 3X * -2) + 10 = 6X + 8
-6 + 3X + 5 + -10X + (8 + -6X) + 10 = 6X + 8

Reorder the terms:
-6 + 5 + 8 + 10 + 3X + -10X + -6X = 6X + 8

Combine like terms: -6 + 5 = -1
-1 + 8 + 10 + 3X + -10X + -6X = 6X + 8

Combine like terms: -1 + 8 = 7
7 + 10 + 3X + -10X + -6X = 6X + 8

Combine like terms: 7 + 10 = 17
17 + 3X + -10X + -6X = 6X + 8

Combine like terms: 3X + -10X = -7X
17 + -7X + -6X = 6X + 8

Combine like terms: -7X + -6X = -13X
17 + -13X = 6X + 8

Reorder the terms:
17 + -13X = 8 + 6X

Solving
17 + -13X = 8 + 6X

Solving for variable 'X'.

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

Add '-6X' to each side of the equation.
17 + -13X + -6X = 8 + 6X + -6X

Combine like terms: -13X + -6X = -19X
17 + -19X = 8 + 6X + -6X

Combine like terms: 6X + -6X = 0
17 + -19X = 8 + 0
17 + -19X = 8

Add '-17' to each side of the equation.
17 + -17 + -19X = 8 + -17

Combine like terms: 17 + -17 = 0
0 + -19X = 8 + -17
-19X = 8 + -17

Combine like terms: 8 + -17 = -9
-19X = -9

Divide each side by '-19'.
X = 0.4736842105

Simplifying
X = 0.4736842105

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