6-x=4(3x-5)

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


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

Reorder the terms:
6 + -1x = 4(-5 + 3x)
6 + -1x = (-5 * 4 + 3x * 4)
6 + -1x = (-20 + 12x)

Solving
6 + -1x = -20 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
6 + -1x + -12x = -20 + 12x + -12x

Combine like terms: -1x + -12x = -13x
6 + -13x = -20 + 12x + -12x

Combine like terms: 12x + -12x = 0
6 + -13x = -20 + 0
6 + -13x = -20

Add '-6' to each side of the equation.
6 + -6 + -13x = -20 + -6

Combine like terms: 6 + -6 = 0
0 + -13x = -20 + -6
-13x = -20 + -6

Combine like terms: -20 + -6 = -26
-13x = -26

Divide each side by '-13'.
x = 2

Simplifying
x = 2

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