6(x+8)=8(x-6)

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Solution for 6(x+8)=8(x-6) equation:


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

Reorder the terms:
6(8 + x) = 8(x + -6)
(8 * 6 + x * 6) = 8(x + -6)
(48 + 6x) = 8(x + -6)

Reorder the terms:
48 + 6x = 8(-6 + x)
48 + 6x = (-6 * 8 + x * 8)
48 + 6x = (-48 + 8x)

Solving
48 + 6x = -48 + 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.
48 + 6x + -8x = -48 + 8x + -8x

Combine like terms: 6x + -8x = -2x
48 + -2x = -48 + 8x + -8x

Combine like terms: 8x + -8x = 0
48 + -2x = -48 + 0
48 + -2x = -48

Add '-48' to each side of the equation.
48 + -48 + -2x = -48 + -48

Combine like terms: 48 + -48 = 0
0 + -2x = -48 + -48
-2x = -48 + -48

Combine like terms: -48 + -48 = -96
-2x = -96

Divide each side by '-2'.
x = 48

Simplifying
x = 48

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