13x+2=8x-3

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Solution for 13x+2=8x-3 equation:


Simplifying
13x + 2 = 8x + -3

Reorder the terms:
2 + 13x = 8x + -3

Reorder the terms:
2 + 13x = -3 + 8x

Solving
2 + 13x = -3 + 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.
2 + 13x + -8x = -3 + 8x + -8x

Combine like terms: 13x + -8x = 5x
2 + 5x = -3 + 8x + -8x

Combine like terms: 8x + -8x = 0
2 + 5x = -3 + 0
2 + 5x = -3

Add '-2' to each side of the equation.
2 + -2 + 5x = -3 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = -3 + -2
5x = -3 + -2

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

Divide each side by '5'.
x = -1

Simplifying
x = -1

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