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

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


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

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

Solving
6 + -5x = 12 + -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.
6 + -5x + 3x = 12 + -3x + 3x

Combine like terms: -5x + 3x = -2x
6 + -2x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + -2x = 12 + 0
6 + -2x = 12

Add '-6' to each side of the equation.
6 + -6 + -2x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 12 + -6
-2x = 12 + -6

Combine like terms: 12 + -6 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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