-3(x-4)=-1(x-5)

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Solution for -3(x-4)=-1(x-5) equation: 


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

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

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

Solving
12 + -3x = 5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
12 + -3x + x = 5 + -1x + x

Combine like terms: -3x + x = -2x
12 + -2x = 5 + -1x + x

Combine like terms: -1x + x = 0
12 + -2x = 5 + 0
12 + -2x = 5

Add '-12' to each side of the equation.
12 + -12 + -2x = 5 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = 5 + -12
-2x = 5 + -12

Combine like terms: 5 + -12 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5

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