3x+10=12x+16

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Solution for 3x+10=12x+16 equation:


Simplifying
3x + 10 = 12x + 16

Reorder the terms:
10 + 3x = 12x + 16

Reorder the terms:
10 + 3x = 16 + 12x

Solving
10 + 3x = 16 + 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.
10 + 3x + -12x = 16 + 12x + -12x

Combine like terms: 3x + -12x = -9x
10 + -9x = 16 + 12x + -12x

Combine like terms: 12x + -12x = 0
10 + -9x = 16 + 0
10 + -9x = 16

Add '-10' to each side of the equation.
10 + -10 + -9x = 16 + -10

Combine like terms: 10 + -10 = 0
0 + -9x = 16 + -10
-9x = 16 + -10

Combine like terms: 16 + -10 = 6
-9x = 6

Divide each side by '-9'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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