(3x+1)+(2x-7)=76

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Solution for (3x+1)+(2x-7)=76 equation:


Simplifying
(3x + 1) + (2x + -7) = 76

Reorder the terms:
(1 + 3x) + (2x + -7) = 76

Remove parenthesis around (1 + 3x)
1 + 3x + (2x + -7) = 76

Reorder the terms:
1 + 3x + (-7 + 2x) = 76

Remove parenthesis around (-7 + 2x)
1 + 3x + -7 + 2x = 76

Reorder the terms:
1 + -7 + 3x + 2x = 76

Combine like terms: 1 + -7 = -6
-6 + 3x + 2x = 76

Combine like terms: 3x + 2x = 5x
-6 + 5x = 76

Solving
-6 + 5x = 76

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 5x = 76 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 76 + 6
5x = 76 + 6

Combine like terms: 76 + 6 = 82
5x = 82

Divide each side by '5'.
x = 16.4

Simplifying
x = 16.4

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