(15x-4)=(7x+14)+62

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Solution for (15x-4)=(7x+14)+62 equation:


Simplifying
(15x + -4) = (7x + 14) + 62

Reorder the terms:
(-4 + 15x) = (7x + 14) + 62

Remove parenthesis around (-4 + 15x)
-4 + 15x = (7x + 14) + 62

Reorder the terms:
-4 + 15x = (14 + 7x) + 62

Remove parenthesis around (14 + 7x)
-4 + 15x = 14 + 7x + 62

Reorder the terms:
-4 + 15x = 14 + 62 + 7x

Combine like terms: 14 + 62 = 76
-4 + 15x = 76 + 7x

Solving
-4 + 15x = 76 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-4 + 15x + -7x = 76 + 7x + -7x

Combine like terms: 15x + -7x = 8x
-4 + 8x = 76 + 7x + -7x

Combine like terms: 7x + -7x = 0
-4 + 8x = 76 + 0
-4 + 8x = 76

Add '4' to each side of the equation.
-4 + 4 + 8x = 76 + 4

Combine like terms: -4 + 4 = 0
0 + 8x = 76 + 4
8x = 76 + 4

Combine like terms: 76 + 4 = 80
8x = 80

Divide each side by '8'.
x = 10

Simplifying
x = 10

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