5-(3x-6)=4(x-3)-5

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Solution for 5-(3x-6)=4(x-3)-5 equation: 


Simplifying
5 + -1(3x + -6) = 4(x + -3) + -5

Reorder the terms:
5 + -1(-6 + 3x) = 4(x + -3) + -5
5 + (-6 * -1 + 3x * -1) = 4(x + -3) + -5
5 + (6 + -3x) = 4(x + -3) + -5

Combine like terms: 5 + 6 = 11
11 + -3x = 4(x + -3) + -5

Reorder the terms:
11 + -3x = 4(-3 + x) + -5
11 + -3x = (-3 * 4 + x * 4) + -5
11 + -3x = (-12 + 4x) + -5

Reorder the terms:
11 + -3x = -12 + -5 + 4x

Combine like terms: -12 + -5 = -17
11 + -3x = -17 + 4x

Solving
11 + -3x = -17 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
11 + -3x + -4x = -17 + 4x + -4x

Combine like terms: -3x + -4x = -7x
11 + -7x = -17 + 4x + -4x

Combine like terms: 4x + -4x = 0
11 + -7x = -17 + 0
11 + -7x = -17

Add '-11' to each side of the equation.
11 + -11 + -7x = -17 + -11

Combine like terms: 11 + -11 = 0
0 + -7x = -17 + -11
-7x = -17 + -11

Combine like terms: -17 + -11 = -28
-7x = -28

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

Simplifying
x = 4

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