(3x+5)=(8x-14)

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Solution for (3x+5)=(8x-14) equation:


Simplifying
(3x + 5) = (8x + -14)

Reorder the terms:
(5 + 3x) = (8x + -14)

Remove parenthesis around (5 + 3x)
5 + 3x = (8x + -14)

Reorder the terms:
5 + 3x = (-14 + 8x)

Remove parenthesis around (-14 + 8x)
5 + 3x = -14 + 8x

Solving
5 + 3x = -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.
5 + 3x + -8x = -14 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
5 + -5x = -14 + 0
5 + -5x = -14

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

Combine like terms: 5 + -5 = 0
0 + -5x = -14 + -5
-5x = -14 + -5

Combine like terms: -14 + -5 = -19
-5x = -19

Divide each side by '-5'.
x = 3.8

Simplifying
x = 3.8

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