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

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


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

Reorder the terms:
2(-1 + x) = 4(7 + -1x)
(-1 * 2 + x * 2) = 4(7 + -1x)
(-2 + 2x) = 4(7 + -1x)
-2 + 2x = (7 * 4 + -1x * 4)
-2 + 2x = (28 + -4x)

Solving
-2 + 2x = 28 + -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 = 28 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-2 + 6x = 28 + -4x + 4x

Combine like terms: -4x + 4x = 0
-2 + 6x = 28 + 0
-2 + 6x = 28

Add '2' to each side of the equation.
-2 + 2 + 6x = 28 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = 28 + 2
6x = 28 + 2

Combine like terms: 28 + 2 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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