65-(3x+3)=3(x+9)+x

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Solution for 65-(3x+3)=3(x+9)+x equation:


Simplifying
65 + -1(3x + 3) = 3(x + 9) + x

Reorder the terms:
65 + -1(3 + 3x) = 3(x + 9) + x
65 + (3 * -1 + 3x * -1) = 3(x + 9) + x
65 + (-3 + -3x) = 3(x + 9) + x

Combine like terms: 65 + -3 = 62
62 + -3x = 3(x + 9) + x

Reorder the terms:
62 + -3x = 3(9 + x) + x
62 + -3x = (9 * 3 + x * 3) + x
62 + -3x = (27 + 3x) + x

Combine like terms: 3x + x = 4x
62 + -3x = 27 + 4x

Solving
62 + -3x = 27 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
62 + -3x + -4x = 27 + 4x + -4x

Combine like terms: -3x + -4x = -7x
62 + -7x = 27 + 4x + -4x

Combine like terms: 4x + -4x = 0
62 + -7x = 27 + 0
62 + -7x = 27

Add '-62' to each side of the equation.
62 + -62 + -7x = 27 + -62

Combine like terms: 62 + -62 = 0
0 + -7x = 27 + -62
-7x = 27 + -62

Combine like terms: 27 + -62 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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