3x+13=8x-3

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


Simplifying
3x + 13 = 8x + -3

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

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

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

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

Combine like terms: 8x + -8x = 0
13 + -5x = -3 + 0
13 + -5x = -3

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

Combine like terms: 13 + -13 = 0
0 + -5x = -3 + -13
-5x = -3 + -13

Combine like terms: -3 + -13 = -16
-5x = -16

Divide each side by '-5'.
x = 3.2

Simplifying
x = 3.2

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