2(x-7)=-4(x-1)

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Solution for 2(x-7)=-4(x-1) equation:


Simplifying
2(x + -7) = -4(x + -1)

Reorder the terms:
2(-7 + x) = -4(x + -1)
(-7 * 2 + x * 2) = -4(x + -1)
(-14 + 2x) = -4(x + -1)

Reorder the terms:
-14 + 2x = -4(-1 + x)
-14 + 2x = (-1 * -4 + x * -4)
-14 + 2x = (4 + -4x)

Solving
-14 + 2x = 4 + -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.
-14 + 2x + 4x = 4 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-14 + 6x = 4 + -4x + 4x

Combine like terms: -4x + 4x = 0
-14 + 6x = 4 + 0
-14 + 6x = 4

Add '14' to each side of the equation.
-14 + 14 + 6x = 4 + 14

Combine like terms: -14 + 14 = 0
0 + 6x = 4 + 14
6x = 4 + 14

Combine like terms: 4 + 14 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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