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

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


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

Reorder the terms:
5x + -3(-3 + x) = -6 + 6x + -5
5x + (-3 * -3 + x * -3) = -6 + 6x + -5
5x + (9 + -3x) = -6 + 6x + -5

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

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

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

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

Solving
9 + 2x = -11 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
9 + 2x + -6x = -11 + 6x + -6x

Combine like terms: 2x + -6x = -4x
9 + -4x = -11 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + -4x = -11 + 0
9 + -4x = -11

Add '-9' to each side of the equation.
9 + -9 + -4x = -11 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = -11 + -9
-4x = -11 + -9

Combine like terms: -11 + -9 = -20
-4x = -20

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

Simplifying
x = 5

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