6*(x-2)-8*(x-3)=16

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Solution for 6*(x-2)-8*(x-3)=16 equation: 


Simplifying
6(x + -2) + -8(x + -3) = 16

Reorder the terms:
6(-2 + x) + -8(x + -3) = 16
(-2 * 6 + x * 6) + -8(x + -3) = 16
(-12 + 6x) + -8(x + -3) = 16

Reorder the terms:
-12 + 6x + -8(-3 + x) = 16
-12 + 6x + (-3 * -8 + x * -8) = 16
-12 + 6x + (24 + -8x) = 16

Reorder the terms:
-12 + 24 + 6x + -8x = 16

Combine like terms: -12 + 24 = 12
12 + 6x + -8x = 16

Combine like terms: 6x + -8x = -2x
12 + -2x = 16

Solving
12 + -2x = 16

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -2x = 16 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = 16 + -12
-2x = 16 + -12

Combine like terms: 16 + -12 = 4
-2x = 4

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

Simplifying
x = -2

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