(5x-3)+(5x-3)+(2x+1)=38

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Solution for (5x-3)+(5x-3)+(2x+1)=38 equation:


Simplifying
(5x + -3) + (5x + -3) + (2x + 1) = 38

Reorder the terms:
(-3 + 5x) + (5x + -3) + (2x + 1) = 38

Remove parenthesis around (-3 + 5x)
-3 + 5x + (5x + -3) + (2x + 1) = 38

Reorder the terms:
-3 + 5x + (-3 + 5x) + (2x + 1) = 38

Remove parenthesis around (-3 + 5x)
-3 + 5x + -3 + 5x + (2x + 1) = 38

Reorder the terms:
-3 + 5x + -3 + 5x + (1 + 2x) = 38

Remove parenthesis around (1 + 2x)
-3 + 5x + -3 + 5x + 1 + 2x = 38

Reorder the terms:
-3 + -3 + 1 + 5x + 5x + 2x = 38

Combine like terms: -3 + -3 = -6
-6 + 1 + 5x + 5x + 2x = 38

Combine like terms: -6 + 1 = -5
-5 + 5x + 5x + 2x = 38

Combine like terms: 5x + 5x = 10x
-5 + 10x + 2x = 38

Combine like terms: 10x + 2x = 12x
-5 + 12x = 38

Solving
-5 + 12x = 38

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 + 12x = 38 + 5

Combine like terms: -5 + 5 = 0
0 + 12x = 38 + 5
12x = 38 + 5

Combine like terms: 38 + 5 = 43
12x = 43

Divide each side by '12'.
x = 3.583333333

Simplifying
x = 3.583333333

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