(3x+1)+(2x+-7)=24

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Solution for (3x+1)+(2x+-7)=24 equation:


Simplifying
(3x + 1) + (2x + -7) = 24

Reorder the terms:
(1 + 3x) + (2x + -7) = 24

Remove parenthesis around (1 + 3x)
1 + 3x + (2x + -7) = 24

Reorder the terms:
1 + 3x + (-7 + 2x) = 24

Remove parenthesis around (-7 + 2x)
1 + 3x + -7 + 2x = 24

Reorder the terms:
1 + -7 + 3x + 2x = 24

Combine like terms: 1 + -7 = -6
-6 + 3x + 2x = 24

Combine like terms: 3x + 2x = 5x
-6 + 5x = 24

Solving
-6 + 5x = 24

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 = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 24 + 6
5x = 24 + 6

Combine like terms: 24 + 6 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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