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

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Solution for 2(x-1)=4(x-3) equation: 


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

Reorder the terms:
2(-1 + x) = 4(x + -3)
(-1 * 2 + x * 2) = 4(x + -3)
(-2 + 2x) = 4(x + -3)

Reorder the terms:
-2 + 2x = 4(-3 + x)
-2 + 2x = (-3 * 4 + x * 4)
-2 + 2x = (-12 + 4x)

Solving
-2 + 2x = -12 + 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.
-2 + 2x + -4x = -12 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-2 + -2x = -12 + 0
-2 + -2x = -12

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

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

Combine like terms: -12 + 2 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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