(10x+12)=(6x+10)+65

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Solution for (10x+12)=(6x+10)+65 equation:


Simplifying
(10x + 12) = (6x + 10) + 65

Reorder the terms:
(12 + 10x) = (6x + 10) + 65

Remove parenthesis around (12 + 10x)
12 + 10x = (6x + 10) + 65

Reorder the terms:
12 + 10x = (10 + 6x) + 65

Remove parenthesis around (10 + 6x)
12 + 10x = 10 + 6x + 65

Reorder the terms:
12 + 10x = 10 + 65 + 6x

Combine like terms: 10 + 65 = 75
12 + 10x = 75 + 6x

Solving
12 + 10x = 75 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
12 + 10x + -6x = 75 + 6x + -6x

Combine like terms: 10x + -6x = 4x
12 + 4x = 75 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + 4x = 75 + 0
12 + 4x = 75

Add '-12' to each side of the equation.
12 + -12 + 4x = 75 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = 75 + -12
4x = 75 + -12

Combine like terms: 75 + -12 = 63
4x = 63

Divide each side by '4'.
x = 15.75

Simplifying
x = 15.75

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