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

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


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

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

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

Combine like terms: 6x + -1x = 5x
-4 + 5x = 4(x + -2)

Reorder the terms:
-4 + 5x = 4(-2 + x)
-4 + 5x = (-2 * 4 + x * 4)
-4 + 5x = (-8 + 4x)

Solving
-4 + 5x = -8 + 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.
-4 + 5x + -4x = -8 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-4 + 1x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-4 + 1x = -8 + 0
-4 + 1x = -8

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

Combine like terms: -4 + 4 = 0
0 + 1x = -8 + 4
1x = -8 + 4

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

Divide each side by '1'.
x = -4

Simplifying
x = -4

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