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

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


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

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

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

Reorder the terms:
4 + -15 + 2x + -6x = 5

Combine like terms: 4 + -15 = -11
-11 + 2x + -6x = 5

Combine like terms: 2x + -6x = -4x
-11 + -4x = 5

Solving
-11 + -4x = 5

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + -4x = 5 + 11

Combine like terms: -11 + 11 = 0
0 + -4x = 5 + 11
-4x = 5 + 11

Combine like terms: 5 + 11 = 16
-4x = 16

Divide each side by '-4'.
x = -4

Simplifying
x = -4

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