6(x-4)=8x-28

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Solution for 6(x-4)=8x-28 equation:


Simplifying
6(x + -4) = 8x + -28

Reorder the terms:
6(-4 + x) = 8x + -28
(-4 * 6 + x * 6) = 8x + -28
(-24 + 6x) = 8x + -28

Reorder the terms:
-24 + 6x = -28 + 8x

Solving
-24 + 6x = -28 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-24 + 6x + -8x = -28 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-24 + -2x = -28 + 8x + -8x

Combine like terms: 8x + -8x = 0
-24 + -2x = -28 + 0
-24 + -2x = -28

Add '24' to each side of the equation.
-24 + 24 + -2x = -28 + 24

Combine like terms: -24 + 24 = 0
0 + -2x = -28 + 24
-2x = -28 + 24

Combine like terms: -28 + 24 = -4
-2x = -4

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

Simplifying
x = 2

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