3x+1=8x-14

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


Simplifying
3x + 1 = 8x + -14

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

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

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

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

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

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

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

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

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

Simplifying
x = 3

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