3(X-4)+2(3X+5)=5+8X

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


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

Reorder the terms:
3(-4 + X) + 2(3X + 5) = 5 + 8X
(-4 * 3 + X * 3) + 2(3X + 5) = 5 + 8X
(-12 + 3X) + 2(3X + 5) = 5 + 8X

Reorder the terms:
-12 + 3X + 2(5 + 3X) = 5 + 8X
-12 + 3X + (5 * 2 + 3X * 2) = 5 + 8X
-12 + 3X + (10 + 6X) = 5 + 8X

Reorder the terms:
-12 + 10 + 3X + 6X = 5 + 8X

Combine like terms: -12 + 10 = -2
-2 + 3X + 6X = 5 + 8X

Combine like terms: 3X + 6X = 9X
-2 + 9X = 5 + 8X

Solving
-2 + 9X = 5 + 8X

Solving for variable 'X'.

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

Add '-8X' to each side of the equation.
-2 + 9X + -8X = 5 + 8X + -8X

Combine like terms: 9X + -8X = 1X
-2 + 1X = 5 + 8X + -8X

Combine like terms: 8X + -8X = 0
-2 + 1X = 5 + 0
-2 + 1X = 5

Add '2' to each side of the equation.
-2 + 2 + 1X = 5 + 2

Combine like terms: -2 + 2 = 0
0 + 1X = 5 + 2
1X = 5 + 2

Combine like terms: 5 + 2 = 7
1X = 7

Divide each side by '1'.
X = 7

Simplifying
X = 7

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