3x+5=8x-2

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Solution for 3x+5=8x-2 equation:


Simplifying
3x + 5 = 8x + -2

Reorder the terms:
5 + 3x = 8x + -2

Reorder the terms:
5 + 3x = -2 + 8x

Solving
5 + 3x = -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.
5 + 3x + -8x = -2 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
5 + -5x = -2 + 0
5 + -5x = -2

Add '-5' to each side of the equation.
5 + -5 + -5x = -2 + -5

Combine like terms: 5 + -5 = 0
0 + -5x = -2 + -5
-5x = -2 + -5

Combine like terms: -2 + -5 = -7
-5x = -7

Divide each side by '-5'.
x = 1.4

Simplifying
x = 1.4

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