6x+3=15x-12

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Solution for 6x+3=15x-12 equation:


Simplifying
6x + 3 = 15x + -12

Reorder the terms:
3 + 6x = 15x + -12

Reorder the terms:
3 + 6x = -12 + 15x

Solving
3 + 6x = -12 + 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.
3 + 6x + -15x = -12 + 15x + -15x

Combine like terms: 6x + -15x = -9x
3 + -9x = -12 + 15x + -15x

Combine like terms: 15x + -15x = 0
3 + -9x = -12 + 0
3 + -9x = -12

Add '-3' to each side of the equation.
3 + -3 + -9x = -12 + -3

Combine like terms: 3 + -3 = 0
0 + -9x = -12 + -3
-9x = -12 + -3

Combine like terms: -12 + -3 = -15
-9x = -15

Divide each side by '-9'.
x = 1.666666667

Simplifying
x = 1.666666667

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