5x-3(x-2)=-4+5x-5

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Solution for 5x-3(x-2)=-4+5x-5 equation:


Simplifying
5x + -3(x + -2) = -4 + 5x + -5

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

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

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

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

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

Solving
6 + 2x = -9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 2x + -5x = -9 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
6 + -3x = -9 + 0
6 + -3x = -9

Add '-6' to each side of the equation.
6 + -6 + -3x = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -9 + -6
-3x = -9 + -6

Combine like terms: -9 + -6 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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