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

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


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

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

Combine like terms: 5 + 4 = 9
9 + -2x = 3x + -5 + -6

Reorder the terms:
9 + -2x = -5 + -6 + 3x

Combine like terms: -5 + -6 = -11
9 + -2x = -11 + 3x

Solving
9 + -2x = -11 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
9 + -2x + -3x = -11 + 3x + -3x

Combine like terms: -2x + -3x = -5x
9 + -5x = -11 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -5x = -11 + 0
9 + -5x = -11

Add '-9' to each side of the equation.
9 + -9 + -5x = -11 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = -11 + -9
-5x = -11 + -9

Combine like terms: -11 + -9 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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