6x+9=10(3x+6)

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Solution for 6x+9=10(3x+6) equation:


Simplifying
6x + 9 = 10(3x + 6)

Reorder the terms:
9 + 6x = 10(3x + 6)

Reorder the terms:
9 + 6x = 10(6 + 3x)
9 + 6x = (6 * 10 + 3x * 10)
9 + 6x = (60 + 30x)

Solving
9 + 6x = 60 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
9 + 6x + -30x = 60 + 30x + -30x

Combine like terms: 6x + -30x = -24x
9 + -24x = 60 + 30x + -30x

Combine like terms: 30x + -30x = 0
9 + -24x = 60 + 0
9 + -24x = 60

Add '-9' to each side of the equation.
9 + -9 + -24x = 60 + -9

Combine like terms: 9 + -9 = 0
0 + -24x = 60 + -9
-24x = 60 + -9

Combine like terms: 60 + -9 = 51
-24x = 51

Divide each side by '-24'.
x = -2.125

Simplifying
x = -2.125

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