(5x-3)+31=8x+10

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Solution for (5x-3)+31=8x+10 equation:


Simplifying
(5x + -3) + 31 = 8x + 10

Reorder the terms:
(-3 + 5x) + 31 = 8x + 10

Remove parenthesis around (-3 + 5x)
-3 + 5x + 31 = 8x + 10

Reorder the terms:
-3 + 31 + 5x = 8x + 10

Combine like terms: -3 + 31 = 28
28 + 5x = 8x + 10

Reorder the terms:
28 + 5x = 10 + 8x

Solving
28 + 5x = 10 + 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.
28 + 5x + -8x = 10 + 8x + -8x

Combine like terms: 5x + -8x = -3x
28 + -3x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
28 + -3x = 10 + 0
28 + -3x = 10

Add '-28' to each side of the equation.
28 + -28 + -3x = 10 + -28

Combine like terms: 28 + -28 = 0
0 + -3x = 10 + -28
-3x = 10 + -28

Combine like terms: 10 + -28 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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