5x-3=-8x+30

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Solution for 5x-3=-8x+30 equation:


Simplifying
5x + -3 = -8x + 30

Reorder the terms:
-3 + 5x = -8x + 30

Reorder the terms:
-3 + 5x = 30 + -8x

Solving
-3 + 5x = 30 + -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.
-3 + 5x + 8x = 30 + -8x + 8x

Combine like terms: 5x + 8x = 13x
-3 + 13x = 30 + -8x + 8x

Combine like terms: -8x + 8x = 0
-3 + 13x = 30 + 0
-3 + 13x = 30

Add '3' to each side of the equation.
-3 + 3 + 13x = 30 + 3

Combine like terms: -3 + 3 = 0
0 + 13x = 30 + 3
13x = 30 + 3

Combine like terms: 30 + 3 = 33
13x = 33

Divide each side by '13'.
x = 2.538461538

Simplifying
x = 2.538461538

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