3x+14=8x-1

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Solution for 3x+14=8x-1 equation:


Simplifying
3x + 14 = 8x + -1

Reorder the terms:
14 + 3x = 8x + -1

Reorder the terms:
14 + 3x = -1 + 8x

Solving
14 + 3x = -1 + 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.
14 + 3x + -8x = -1 + 8x + -8x

Combine like terms: 3x + -8x = -5x
14 + -5x = -1 + 8x + -8x

Combine like terms: 8x + -8x = 0
14 + -5x = -1 + 0
14 + -5x = -1

Add '-14' to each side of the equation.
14 + -14 + -5x = -1 + -14

Combine like terms: 14 + -14 = 0
0 + -5x = -1 + -14
-5x = -1 + -14

Combine like terms: -1 + -14 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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