13x+2=5x-3

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Solution for 13x+2=5x-3 equation:


Simplifying
13x + 2 = 5x + -3

Reorder the terms:
2 + 13x = 5x + -3

Reorder the terms:
2 + 13x = -3 + 5x

Solving
2 + 13x = -3 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
2 + 13x + -5x = -3 + 5x + -5x

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

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

Add '-2' to each side of the equation.
2 + -2 + 8x = -3 + -2

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

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

Divide each side by '8'.
x = -0.625

Simplifying
x = -0.625

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