6(x-3)-9(x-5)=x-1

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Solution for 6(x-3)-9(x-5)=x-1 equation: 


Simplifying
6(x + -3) + -9(x + -5) = x + -1

Reorder the terms:
6(-3 + x) + -9(x + -5) = x + -1
(-3 * 6 + x * 6) + -9(x + -5) = x + -1
(-18 + 6x) + -9(x + -5) = x + -1

Reorder the terms:
-18 + 6x + -9(-5 + x) = x + -1
-18 + 6x + (-5 * -9 + x * -9) = x + -1
-18 + 6x + (45 + -9x) = x + -1

Reorder the terms:
-18 + 45 + 6x + -9x = x + -1

Combine like terms: -18 + 45 = 27
27 + 6x + -9x = x + -1

Combine like terms: 6x + -9x = -3x
27 + -3x = x + -1

Reorder the terms:
27 + -3x = -1 + x

Solving
27 + -3x = -1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
27 + -3x + -1x = -1 + x + -1x

Combine like terms: -3x + -1x = -4x
27 + -4x = -1 + x + -1x

Combine like terms: x + -1x = 0
27 + -4x = -1 + 0
27 + -4x = -1

Add '-27' to each side of the equation.
27 + -27 + -4x = -1 + -27

Combine like terms: 27 + -27 = 0
0 + -4x = -1 + -27
-4x = -1 + -27

Combine like terms: -1 + -27 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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