3(x+6)-2(4x-5)=2

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Solution for 3(x+6)-2(4x-5)=2 equation:


Simplifying
3(x + 6) + -2(4x + -5) = 2

Reorder the terms:
3(6 + x) + -2(4x + -5) = 2
(6 * 3 + x * 3) + -2(4x + -5) = 2
(18 + 3x) + -2(4x + -5) = 2

Reorder the terms:
18 + 3x + -2(-5 + 4x) = 2
18 + 3x + (-5 * -2 + 4x * -2) = 2
18 + 3x + (10 + -8x) = 2

Reorder the terms:
18 + 10 + 3x + -8x = 2

Combine like terms: 18 + 10 = 28
28 + 3x + -8x = 2

Combine like terms: 3x + -8x = -5x
28 + -5x = 2

Solving
28 + -5x = 2

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + -5x = 2 + -28

Combine like terms: 28 + -28 = 0
0 + -5x = 2 + -28
-5x = 2 + -28

Combine like terms: 2 + -28 = -26
-5x = -26

Divide each side by '-5'.
x = 5.2

Simplifying
x = 5.2

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