6x+4(2x+8)=3x+(x+6)-14

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Solution for 6x+4(2x+8)=3x+(x+6)-14 equation:


Simplifying
6x + 4(2x + 8) = 3x + (x + 6) + -14

Reorder the terms:
6x + 4(8 + 2x) = 3x + (x + 6) + -14
6x + (8 * 4 + 2x * 4) = 3x + (x + 6) + -14
6x + (32 + 8x) = 3x + (x + 6) + -14

Reorder the terms:
32 + 6x + 8x = 3x + (x + 6) + -14

Combine like terms: 6x + 8x = 14x
32 + 14x = 3x + (x + 6) + -14

Reorder the terms:
32 + 14x = 3x + (6 + x) + -14

Remove parenthesis around (6 + x)
32 + 14x = 3x + 6 + x + -14

Reorder the terms:
32 + 14x = 6 + -14 + 3x + x

Combine like terms: 6 + -14 = -8
32 + 14x = -8 + 3x + x

Combine like terms: 3x + x = 4x
32 + 14x = -8 + 4x

Solving
32 + 14x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
32 + 14x + -4x = -8 + 4x + -4x

Combine like terms: 14x + -4x = 10x
32 + 10x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
32 + 10x = -8 + 0
32 + 10x = -8

Add '-32' to each side of the equation.
32 + -32 + 10x = -8 + -32

Combine like terms: 32 + -32 = 0
0 + 10x = -8 + -32
10x = -8 + -32

Combine like terms: -8 + -32 = -40
10x = -40

Divide each side by '10'.
x = -4

Simplifying
x = -4

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