6x+24=16x-12

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Solution for 6x+24=16x-12 equation:


Simplifying
6x + 24 = 16x + -12

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

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

Solving
24 + 6x = -12 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
24 + 6x + -16x = -12 + 16x + -16x

Combine like terms: 6x + -16x = -10x
24 + -10x = -12 + 16x + -16x

Combine like terms: 16x + -16x = 0
24 + -10x = -12 + 0
24 + -10x = -12

Add '-24' to each side of the equation.
24 + -24 + -10x = -12 + -24

Combine like terms: 24 + -24 = 0
0 + -10x = -12 + -24
-10x = -12 + -24

Combine like terms: -12 + -24 = -36
-10x = -36

Divide each side by '-10'.
x = 3.6

Simplifying
x = 3.6

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