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

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


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

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

Combine like terms: 6 + -16 = -10
-10 + 8x = 6(x + 2)

Reorder the terms:
-10 + 8x = 6(2 + x)
-10 + 8x = (2 * 6 + x * 6)
-10 + 8x = (12 + 6x)

Solving
-10 + 8x = 12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-10 + 8x + -6x = 12 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-10 + 2x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-10 + 2x = 12 + 0
-10 + 2x = 12

Add '10' to each side of the equation.
-10 + 10 + 2x = 12 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = 12 + 10
2x = 12 + 10

Combine like terms: 12 + 10 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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