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

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


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

Reorder the terms:
3(5 + 2x) + 4(3 + -2x) = -2
(5 * 3 + 2x * 3) + 4(3 + -2x) = -2
(15 + 6x) + 4(3 + -2x) = -2
15 + 6x + (3 * 4 + -2x * 4) = -2
15 + 6x + (12 + -8x) = -2

Reorder the terms:
15 + 12 + 6x + -8x = -2

Combine like terms: 15 + 12 = 27
27 + 6x + -8x = -2

Combine like terms: 6x + -8x = -2x
27 + -2x = -2

Solving
27 + -2x = -2

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + -2x = -2 + -27

Combine like terms: 27 + -27 = 0
0 + -2x = -2 + -27
-2x = -2 + -27

Combine like terms: -2 + -27 = -29
-2x = -29

Divide each side by '-2'.
x = 14.5

Simplifying
x = 14.5

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