4(2x-6)=2x-(x+4)

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Solution for 4(2x-6)=2x-(x+4) equation:


Simplifying
4(2x + -6) = 2x + -1(x + 4)

Reorder the terms:
4(-6 + 2x) = 2x + -1(x + 4)
(-6 * 4 + 2x * 4) = 2x + -1(x + 4)
(-24 + 8x) = 2x + -1(x + 4)

Reorder the terms:
-24 + 8x = 2x + -1(4 + x)
-24 + 8x = 2x + (4 * -1 + x * -1)
-24 + 8x = 2x + (-4 + -1x)

Reorder the terms:
-24 + 8x = -4 + 2x + -1x

Combine like terms: 2x + -1x = 1x
-24 + 8x = -4 + 1x

Solving
-24 + 8x = -4 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-24 + 8x + -1x = -4 + 1x + -1x

Combine like terms: 8x + -1x = 7x
-24 + 7x = -4 + 1x + -1x

Combine like terms: 1x + -1x = 0
-24 + 7x = -4 + 0
-24 + 7x = -4

Add '24' to each side of the equation.
-24 + 24 + 7x = -4 + 24

Combine like terms: -24 + 24 = 0
0 + 7x = -4 + 24
7x = -4 + 24

Combine like terms: -4 + 24 = 20
7x = 20

Divide each side by '7'.
x = 2.857142857

Simplifying
x = 2.857142857

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