6x+8x-6+8=12x+24-10

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Solution for 6x+8x-6+8=12x+24-10 equation:


Simplifying
6x + 8x + -6 + 8 = 12x + 24 + -10

Reorder the terms:
-6 + 8 + 6x + 8x = 12x + 24 + -10

Combine like terms: -6 + 8 = 2
2 + 6x + 8x = 12x + 24 + -10

Combine like terms: 6x + 8x = 14x
2 + 14x = 12x + 24 + -10

Reorder the terms:
2 + 14x = 24 + -10 + 12x

Combine like terms: 24 + -10 = 14
2 + 14x = 14 + 12x

Solving
2 + 14x = 14 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
2 + 14x + -12x = 14 + 12x + -12x

Combine like terms: 14x + -12x = 2x
2 + 2x = 14 + 12x + -12x

Combine like terms: 12x + -12x = 0
2 + 2x = 14 + 0
2 + 2x = 14

Add '-2' to each side of the equation.
2 + -2 + 2x = 14 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 14 + -2
2x = 14 + -2

Combine like terms: 14 + -2 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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