15x+11-6x=3(2x+7)+2

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Solution for 15x+11-6x=3(2x+7)+2 equation:


Simplifying
15x + 11 + -6x = 3(2x + 7) + 2

Reorder the terms:
11 + 15x + -6x = 3(2x + 7) + 2

Combine like terms: 15x + -6x = 9x
11 + 9x = 3(2x + 7) + 2

Reorder the terms:
11 + 9x = 3(7 + 2x) + 2
11 + 9x = (7 * 3 + 2x * 3) + 2
11 + 9x = (21 + 6x) + 2

Reorder the terms:
11 + 9x = 21 + 2 + 6x

Combine like terms: 21 + 2 = 23
11 + 9x = 23 + 6x

Solving
11 + 9x = 23 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
11 + 9x + -6x = 23 + 6x + -6x

Combine like terms: 9x + -6x = 3x
11 + 3x = 23 + 6x + -6x

Combine like terms: 6x + -6x = 0
11 + 3x = 23 + 0
11 + 3x = 23

Add '-11' to each side of the equation.
11 + -11 + 3x = 23 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = 23 + -11
3x = 23 + -11

Combine like terms: 23 + -11 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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