6(x-4)=8(x-2)

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Solution for 6(x-4)=8(x-2) equation:


Simplifying
6(x + -4) = 8(x + -2)

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

Reorder the terms:
-24 + 6x = 8(-2 + x)
-24 + 6x = (-2 * 8 + x * 8)
-24 + 6x = (-16 + 8x)

Solving
-24 + 6x = -16 + 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 = -16 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-24 + -2x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
-24 + -2x = -16 + 0
-24 + -2x = -16

Add '24' to each side of the equation.
-24 + 24 + -2x = -16 + 24

Combine like terms: -24 + 24 = 0
0 + -2x = -16 + 24
-2x = -16 + 24

Combine like terms: -16 + 24 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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