2x-5(x-2)=-9+3x-5

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Solution for 2x-5(x-2)=-9+3x-5 equation: 


Simplifying
2x + -5(x + -2) = -9 + 3x + -5

Reorder the terms:
2x + -5(-2 + x) = -9 + 3x + -5
2x + (-2 * -5 + x * -5) = -9 + 3x + -5
2x + (10 + -5x) = -9 + 3x + -5

Reorder the terms:
10 + 2x + -5x = -9 + 3x + -5

Combine like terms: 2x + -5x = -3x
10 + -3x = -9 + 3x + -5

Reorder the terms:
10 + -3x = -9 + -5 + 3x

Combine like terms: -9 + -5 = -14
10 + -3x = -14 + 3x

Solving
10 + -3x = -14 + 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.
10 + -3x + -3x = -14 + 3x + -3x

Combine like terms: -3x + -3x = -6x
10 + -6x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -6x = -14 + 0
10 + -6x = -14

Add '-10' to each side of the equation.
10 + -10 + -6x = -14 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = -14 + -10
-6x = -14 + -10

Combine like terms: -14 + -10 = -24
-6x = -24

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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