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

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


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

Reorder the terms:
5 + -6(-2 + x) = 2x + -5
5 + (-2 * -6 + x * -6) = 2x + -5
5 + (12 + -6x) = 2x + -5

Combine like terms: 5 + 12 = 17
17 + -6x = 2x + -5

Reorder the terms:
17 + -6x = -5 + 2x

Solving
17 + -6x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
17 + -6x + -2x = -5 + 2x + -2x

Combine like terms: -6x + -2x = -8x
17 + -8x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
17 + -8x = -5 + 0
17 + -8x = -5

Add '-17' to each side of the equation.
17 + -17 + -8x = -5 + -17

Combine like terms: 17 + -17 = 0
0 + -8x = -5 + -17
-8x = -5 + -17

Combine like terms: -5 + -17 = -22
-8x = -22

Divide each side by '-8'.
x = 2.75

Simplifying
x = 2.75

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