2x+3x+20=8(x+2)-14

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Solution for 2x+3x+20=8(x+2)-14 equation: 


Simplifying
2x + 3x + 20 = 8(x + 2) + -14

Reorder the terms:
20 + 2x + 3x = 8(x + 2) + -14

Combine like terms: 2x + 3x = 5x
20 + 5x = 8(x + 2) + -14

Reorder the terms:
20 + 5x = 8(2 + x) + -14
20 + 5x = (2 * 8 + x * 8) + -14
20 + 5x = (16 + 8x) + -14

Reorder the terms:
20 + 5x = 16 + -14 + 8x

Combine like terms: 16 + -14 = 2
20 + 5x = 2 + 8x

Solving
20 + 5x = 2 + 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.
20 + 5x + -8x = 2 + 8x + -8x

Combine like terms: 5x + -8x = -3x
20 + -3x = 2 + 8x + -8x

Combine like terms: 8x + -8x = 0
20 + -3x = 2 + 0
20 + -3x = 2

Add '-20' to each side of the equation.
20 + -20 + -3x = 2 + -20

Combine like terms: 20 + -20 = 0
0 + -3x = 2 + -20
-3x = 2 + -20

Combine like terms: 2 + -20 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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