(2x-2)+(3x-8)=172

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Solution for (2x-2)+(3x-8)=172 equation:


Simplifying
(2x + -2) + (3x + -8) = 172

Reorder the terms:
(-2 + 2x) + (3x + -8) = 172

Remove parenthesis around (-2 + 2x)
-2 + 2x + (3x + -8) = 172

Reorder the terms:
-2 + 2x + (-8 + 3x) = 172

Remove parenthesis around (-8 + 3x)
-2 + 2x + -8 + 3x = 172

Reorder the terms:
-2 + -8 + 2x + 3x = 172

Combine like terms: -2 + -8 = -10
-10 + 2x + 3x = 172

Combine like terms: 2x + 3x = 5x
-10 + 5x = 172

Solving
-10 + 5x = 172

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 5x = 172 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 172 + 10
5x = 172 + 10

Combine like terms: 172 + 10 = 182
5x = 182

Divide each side by '5'.
x = 36.4

Simplifying
x = 36.4

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