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

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


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

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

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

Reorder the terms:
-4 + 6 + x + -2x + -3x = 5

Combine like terms: -4 + 6 = 2
2 + x + -2x + -3x = 5

Combine like terms: x + -2x = -1x
2 + -1x + -3x = 5

Combine like terms: -1x + -3x = -4x
2 + -4x = 5

Solving
2 + -4x = 5

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + -4x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = 5 + -2
-4x = 5 + -2

Combine like terms: 5 + -2 = 3
-4x = 3

Divide each side by '-4'.
x = -0.75

Simplifying
x = -0.75

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