5(3n+4)=7(5n+9)+7

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Solution for 5(3n+4)=7(5n+9)+7 equation:


Simplifying
5(3n + 4) = 7(5n + 9) + 7

Reorder the terms:
5(4 + 3n) = 7(5n + 9) + 7
(4 * 5 + 3n * 5) = 7(5n + 9) + 7
(20 + 15n) = 7(5n + 9) + 7

Reorder the terms:
20 + 15n = 7(9 + 5n) + 7
20 + 15n = (9 * 7 + 5n * 7) + 7
20 + 15n = (63 + 35n) + 7

Reorder the terms:
20 + 15n = 63 + 7 + 35n

Combine like terms: 63 + 7 = 70
20 + 15n = 70 + 35n

Solving
20 + 15n = 70 + 35n

Solving for variable 'n'.

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

Add '-35n' to each side of the equation.
20 + 15n + -35n = 70 + 35n + -35n

Combine like terms: 15n + -35n = -20n
20 + -20n = 70 + 35n + -35n

Combine like terms: 35n + -35n = 0
20 + -20n = 70 + 0
20 + -20n = 70

Add '-20' to each side of the equation.
20 + -20 + -20n = 70 + -20

Combine like terms: 20 + -20 = 0
0 + -20n = 70 + -20
-20n = 70 + -20

Combine like terms: 70 + -20 = 50
-20n = 50

Divide each side by '-20'.
n = -2.5

Simplifying
n = -2.5

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