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

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


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

Reorder the terms:
4 + -5(-6 + x) = 3x + -6
4 + (-6 * -5 + x * -5) = 3x + -6
4 + (30 + -5x) = 3x + -6

Combine like terms: 4 + 30 = 34
34 + -5x = 3x + -6

Reorder the terms:
34 + -5x = -6 + 3x

Solving
34 + -5x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
34 + -5x + -3x = -6 + 3x + -3x

Combine like terms: -5x + -3x = -8x
34 + -8x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
34 + -8x = -6 + 0
34 + -8x = -6

Add '-34' to each side of the equation.
34 + -34 + -8x = -6 + -34

Combine like terms: 34 + -34 = 0
0 + -8x = -6 + -34
-8x = -6 + -34

Combine like terms: -6 + -34 = -40
-8x = -40

Divide each side by '-8'.
x = 5

Simplifying
x = 5

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