77-(3x+8)=3(1x+9)+x

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Solution for 77-(3x+8)=3(1x+9)+x equation: 


Simplifying
77 + -1(3x + 8) = 3(1x + 9) + x

Reorder the terms:
77 + -1(8 + 3x) = 3(1x + 9) + x
77 + (8 * -1 + 3x * -1) = 3(1x + 9) + x
77 + (-8 + -3x) = 3(1x + 9) + x

Combine like terms: 77 + -8 = 69
69 + -3x = 3(1x + 9) + x

Reorder the terms:
69 + -3x = 3(9 + 1x) + x
69 + -3x = (9 * 3 + 1x * 3) + x
69 + -3x = (27 + 3x) + x

Combine like terms: 3x + x = 4x
69 + -3x = 27 + 4x

Solving
69 + -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.
69 + -3x + -4x = 27 + 4x + -4x

Combine like terms: -3x + -4x = -7x
69 + -7x = 27 + 4x + -4x

Combine like terms: 4x + -4x = 0
69 + -7x = 27 + 0
69 + -7x = 27

Add '-69' to each side of the equation.
69 + -69 + -7x = 27 + -69

Combine like terms: 69 + -69 = 0
0 + -7x = 27 + -69
-7x = 27 + -69

Combine like terms: 27 + -69 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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