6(x+3)+14=3(x+6)+11

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Solution for 6(x+3)+14=3(x+6)+11 equation:


Simplifying
6(x + 3) + 14 = 3(x + 6) + 11

Reorder the terms:
6(3 + x) + 14 = 3(x + 6) + 11
(3 * 6 + x * 6) + 14 = 3(x + 6) + 11
(18 + 6x) + 14 = 3(x + 6) + 11

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

Combine like terms: 18 + 14 = 32
32 + 6x = 3(x + 6) + 11

Reorder the terms:
32 + 6x = 3(6 + x) + 11
32 + 6x = (6 * 3 + x * 3) + 11
32 + 6x = (18 + 3x) + 11

Reorder the terms:
32 + 6x = 18 + 11 + 3x

Combine like terms: 18 + 11 = 29
32 + 6x = 29 + 3x

Solving
32 + 6x = 29 + 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.
32 + 6x + -3x = 29 + 3x + -3x

Combine like terms: 6x + -3x = 3x
32 + 3x = 29 + 3x + -3x

Combine like terms: 3x + -3x = 0
32 + 3x = 29 + 0
32 + 3x = 29

Add '-32' to each side of the equation.
32 + -32 + 3x = 29 + -32

Combine like terms: 32 + -32 = 0
0 + 3x = 29 + -32
3x = 29 + -32

Combine like terms: 29 + -32 = -3
3x = -3

Divide each side by '3'.
x = -1

Simplifying
x = -1

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