6(x+6)=15x-3

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Solution for 6(x+6)=15x-3 equation:


Simplifying
6(x + 6) = 15x + -3

Reorder the terms:
6(6 + x) = 15x + -3
(6 * 6 + x * 6) = 15x + -3
(36 + 6x) = 15x + -3

Reorder the terms:
36 + 6x = -3 + 15x

Solving
36 + 6x = -3 + 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.
36 + 6x + -15x = -3 + 15x + -15x

Combine like terms: 6x + -15x = -9x
36 + -9x = -3 + 15x + -15x

Combine like terms: 15x + -15x = 0
36 + -9x = -3 + 0
36 + -9x = -3

Add '-36' to each side of the equation.
36 + -36 + -9x = -3 + -36

Combine like terms: 36 + -36 = 0
0 + -9x = -3 + -36
-9x = -3 + -36

Combine like terms: -3 + -36 = -39
-9x = -39

Divide each side by '-9'.
x = 4.333333333

Simplifying
x = 4.333333333

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