-4(x-3)=-6(x-1)

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Solution for -4(x-3)=-6(x-1) equation:


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

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

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

Solving
12 + -4x = 6 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
12 + -4x + 6x = 6 + -6x + 6x

Combine like terms: -4x + 6x = 2x
12 + 2x = 6 + -6x + 6x

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

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

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

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

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

Simplifying
x = -3

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