3x+8=15x+10

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Solution for 3x+8=15x+10 equation:


Simplifying
3x + 8 = 15x + 10

Reorder the terms:
8 + 3x = 15x + 10

Reorder the terms:
8 + 3x = 10 + 15x

Solving
8 + 3x = 10 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
8 + 3x + -15x = 10 + 15x + -15x

Combine like terms: 3x + -15x = -12x
8 + -12x = 10 + 15x + -15x

Combine like terms: 15x + -15x = 0
8 + -12x = 10 + 0
8 + -12x = 10

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

Combine like terms: 8 + -8 = 0
0 + -12x = 10 + -8
-12x = 10 + -8

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

Divide each side by '-12'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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