9(x+2)-6(x-1)+14=5(x+3)+11

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Solution for 9(x+2)-6(x-1)+14=5(x+3)+11 equation:


Simplifying
9(x + 2) + -6(x + -1) + 14 = 5(x + 3) + 11

Reorder the terms:
9(2 + x) + -6(x + -1) + 14 = 5(x + 3) + 11
(2 * 9 + x * 9) + -6(x + -1) + 14 = 5(x + 3) + 11
(18 + 9x) + -6(x + -1) + 14 = 5(x + 3) + 11

Reorder the terms:
18 + 9x + -6(-1 + x) + 14 = 5(x + 3) + 11
18 + 9x + (-1 * -6 + x * -6) + 14 = 5(x + 3) + 11
18 + 9x + (6 + -6x) + 14 = 5(x + 3) + 11

Reorder the terms:
18 + 6 + 14 + 9x + -6x = 5(x + 3) + 11

Combine like terms: 18 + 6 = 24
24 + 14 + 9x + -6x = 5(x + 3) + 11

Combine like terms: 24 + 14 = 38
38 + 9x + -6x = 5(x + 3) + 11

Combine like terms: 9x + -6x = 3x
38 + 3x = 5(x + 3) + 11

Reorder the terms:
38 + 3x = 5(3 + x) + 11
38 + 3x = (3 * 5 + x * 5) + 11
38 + 3x = (15 + 5x) + 11

Reorder the terms:
38 + 3x = 15 + 11 + 5x

Combine like terms: 15 + 11 = 26
38 + 3x = 26 + 5x

Solving
38 + 3x = 26 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
38 + 3x + -5x = 26 + 5x + -5x

Combine like terms: 3x + -5x = -2x
38 + -2x = 26 + 5x + -5x

Combine like terms: 5x + -5x = 0
38 + -2x = 26 + 0
38 + -2x = 26

Add '-38' to each side of the equation.
38 + -38 + -2x = 26 + -38

Combine like terms: 38 + -38 = 0
0 + -2x = 26 + -38
-2x = 26 + -38

Combine like terms: 26 + -38 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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