9(2x+5)+6=6+3x

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Solution for 9(2x+5)+6=6+3x equation:


Simplifying
9(2x + 5) + 6 = 6 + 3x

Reorder the terms:
9(5 + 2x) + 6 = 6 + 3x
(5 * 9 + 2x * 9) + 6 = 6 + 3x
(45 + 18x) + 6 = 6 + 3x

Reorder the terms:
45 + 6 + 18x = 6 + 3x

Combine like terms: 45 + 6 = 51
51 + 18x = 6 + 3x

Solving
51 + 18x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
51 + 18x + -3x = 6 + 3x + -3x

Combine like terms: 18x + -3x = 15x
51 + 15x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
51 + 15x = 6 + 0
51 + 15x = 6

Add '-51' to each side of the equation.
51 + -51 + 15x = 6 + -51

Combine like terms: 51 + -51 = 0
0 + 15x = 6 + -51
15x = 6 + -51

Combine like terms: 6 + -51 = -45
15x = -45

Divide each side by '15'.
x = -3

Simplifying
x = -3

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