(8x-5)+(3x+10)+(2x)=46

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Solution for (8x-5)+(3x+10)+(2x)=46 equation:


Simplifying
(8x + -5) + (3x + 10) + (2x) = 46

Reorder the terms:
(-5 + 8x) + (3x + 10) + (2x) = 46

Remove parenthesis around (-5 + 8x)
-5 + 8x + (3x + 10) + (2x) = 46

Reorder the terms:
-5 + 8x + (10 + 3x) + (2x) = 46

Remove parenthesis around (10 + 3x)
-5 + 8x + 10 + 3x + (2x) = 46

Reorder the terms:
-5 + 10 + 8x + 3x + (2x) = 46

Combine like terms: -5 + 10 = 5
5 + 8x + 3x + (2x) = 46

Combine like terms: 8x + 3x = 11x
5 + 11x + (2x) = 46

Combine like terms: 11x + (2x) = 13x
5 + 13x = 46

Solving
5 + 13x = 46

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 13x = 46 + -5

Combine like terms: 5 + -5 = 0
0 + 13x = 46 + -5
13x = 46 + -5

Combine like terms: 46 + -5 = 41
13x = 41

Divide each side by '13'.
x = 3.153846154

Simplifying
x = 3.153846154

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