5(x-1)-6x-3(x-3)=0

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Solution for 5(x-1)-6x-3(x-3)=0 equation:


Simplifying
5(x + -1) + -6x + -3(x + -3) = 0

Reorder the terms:
5(-1 + x) + -6x + -3(x + -3) = 0
(-1 * 5 + x * 5) + -6x + -3(x + -3) = 0
(-5 + 5x) + -6x + -3(x + -3) = 0

Reorder the terms:
-5 + 5x + -6x + -3(-3 + x) = 0
-5 + 5x + -6x + (-3 * -3 + x * -3) = 0
-5 + 5x + -6x + (9 + -3x) = 0

Reorder the terms:
-5 + 9 + 5x + -6x + -3x = 0

Combine like terms: -5 + 9 = 4
4 + 5x + -6x + -3x = 0

Combine like terms: 5x + -6x = -1x
4 + -1x + -3x = 0

Combine like terms: -1x + -3x = -4x
4 + -4x = 0

Solving
4 + -4x = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -4x = 0 + -4

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

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

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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