(3x-1)+(3x-1)+(2x+7)+(2x+7)=62

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Solution for (3x-1)+(3x-1)+(2x+7)+(2x+7)=62 equation:


Simplifying
(3x + -1) + (3x + -1) + (2x + 7) + (2x + 7) = 62

Reorder the terms:
(-1 + 3x) + (3x + -1) + (2x + 7) + (2x + 7) = 62

Remove parenthesis around (-1 + 3x)
-1 + 3x + (3x + -1) + (2x + 7) + (2x + 7) = 62

Reorder the terms:
-1 + 3x + (-1 + 3x) + (2x + 7) + (2x + 7) = 62

Remove parenthesis around (-1 + 3x)
-1 + 3x + -1 + 3x + (2x + 7) + (2x + 7) = 62

Reorder the terms:
-1 + 3x + -1 + 3x + (7 + 2x) + (2x + 7) = 62

Remove parenthesis around (7 + 2x)
-1 + 3x + -1 + 3x + 7 + 2x + (2x + 7) = 62

Reorder the terms:
-1 + 3x + -1 + 3x + 7 + 2x + (7 + 2x) = 62

Remove parenthesis around (7 + 2x)
-1 + 3x + -1 + 3x + 7 + 2x + 7 + 2x = 62

Reorder the terms:
-1 + -1 + 7 + 7 + 3x + 3x + 2x + 2x = 62

Combine like terms: -1 + -1 = -2
-2 + 7 + 7 + 3x + 3x + 2x + 2x = 62

Combine like terms: -2 + 7 = 5
5 + 7 + 3x + 3x + 2x + 2x = 62

Combine like terms: 5 + 7 = 12
12 + 3x + 3x + 2x + 2x = 62

Combine like terms: 3x + 3x = 6x
12 + 6x + 2x + 2x = 62

Combine like terms: 6x + 2x = 8x
12 + 8x + 2x = 62

Combine like terms: 8x + 2x = 10x
12 + 10x = 62

Solving
12 + 10x = 62

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 10x = 62 + -12

Combine like terms: 12 + -12 = 0
0 + 10x = 62 + -12
10x = 62 + -12

Combine like terms: 62 + -12 = 50
10x = 50

Divide each side by '10'.
x = 5

Simplifying
x = 5

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