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

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


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

Reorder the terms:
2(8 + x) + 3x = 8x + -14
(8 * 2 + x * 2) + 3x = 8x + -14
(16 + 2x) + 3x = 8x + -14

Combine like terms: 2x + 3x = 5x
16 + 5x = 8x + -14

Reorder the terms:
16 + 5x = -14 + 8x

Solving
16 + 5x = -14 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
16 + 5x + -8x = -14 + 8x + -8x

Combine like terms: 5x + -8x = -3x
16 + -3x = -14 + 8x + -8x

Combine like terms: 8x + -8x = 0
16 + -3x = -14 + 0
16 + -3x = -14

Add '-16' to each side of the equation.
16 + -16 + -3x = -14 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = -14 + -16
-3x = -14 + -16

Combine like terms: -14 + -16 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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