6x-5(x-1)=20-4x

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Solution for 6x-5(x-1)=20-4x equation:


Simplifying
6x + -5(x + -1) = 20 + -4x

Reorder the terms:
6x + -5(-1 + x) = 20 + -4x
6x + (-1 * -5 + x * -5) = 20 + -4x
6x + (5 + -5x) = 20 + -4x

Reorder the terms:
5 + 6x + -5x = 20 + -4x

Combine like terms: 6x + -5x = 1x
5 + 1x = 20 + -4x

Solving
5 + 1x = 20 + -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.
5 + 1x + 4x = 20 + -4x + 4x

Combine like terms: 1x + 4x = 5x
5 + 5x = 20 + -4x + 4x

Combine like terms: -4x + 4x = 0
5 + 5x = 20 + 0
5 + 5x = 20

Add '-5' to each side of the equation.
5 + -5 + 5x = 20 + -5

Combine like terms: 5 + -5 = 0
0 + 5x = 20 + -5
5x = 20 + -5

Combine like terms: 20 + -5 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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