2(3x+4)-3(4x-5)=5

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


Simplifying
2(3x + 4) + -3(4x + -5) = 5

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

Reorder the terms:
8 + 6x + -3(-5 + 4x) = 5
8 + 6x + (-5 * -3 + 4x * -3) = 5
8 + 6x + (15 + -12x) = 5

Reorder the terms:
8 + 15 + 6x + -12x = 5

Combine like terms: 8 + 15 = 23
23 + 6x + -12x = 5

Combine like terms: 6x + -12x = -6x
23 + -6x = 5

Solving
23 + -6x = 5

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 + -6x = 5 + -23

Combine like terms: 23 + -23 = 0
0 + -6x = 5 + -23
-6x = 5 + -23

Combine like terms: 5 + -23 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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