9(3x-5)+3(x-3)+2=3(x+1)-76

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Solution for 9(3x-5)+3(x-3)+2=3(x+1)-76 equation: 


Simplifying
9(3x + -5) + 3(x + -3) + 2 = 3(x + 1) + -76

Reorder the terms:
9(-5 + 3x) + 3(x + -3) + 2 = 3(x + 1) + -76
(-5 * 9 + 3x * 9) + 3(x + -3) + 2 = 3(x + 1) + -76
(-45 + 27x) + 3(x + -3) + 2 = 3(x + 1) + -76

Reorder the terms:
-45 + 27x + 3(-3 + x) + 2 = 3(x + 1) + -76
-45 + 27x + (-3 * 3 + x * 3) + 2 = 3(x + 1) + -76
-45 + 27x + (-9 + 3x) + 2 = 3(x + 1) + -76

Reorder the terms:
-45 + -9 + 2 + 27x + 3x = 3(x + 1) + -76

Combine like terms: -45 + -9 = -54
-54 + 2 + 27x + 3x = 3(x + 1) + -76

Combine like terms: -54 + 2 = -52
-52 + 27x + 3x = 3(x + 1) + -76

Combine like terms: 27x + 3x = 30x
-52 + 30x = 3(x + 1) + -76

Reorder the terms:
-52 + 30x = 3(1 + x) + -76
-52 + 30x = (1 * 3 + x * 3) + -76
-52 + 30x = (3 + 3x) + -76

Reorder the terms:
-52 + 30x = 3 + -76 + 3x

Combine like terms: 3 + -76 = -73
-52 + 30x = -73 + 3x

Solving
-52 + 30x = -73 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-52 + 30x + -3x = -73 + 3x + -3x

Combine like terms: 30x + -3x = 27x
-52 + 27x = -73 + 3x + -3x

Combine like terms: 3x + -3x = 0
-52 + 27x = -73 + 0
-52 + 27x = -73

Add '52' to each side of the equation.
-52 + 52 + 27x = -73 + 52

Combine like terms: -52 + 52 = 0
0 + 27x = -73 + 52
27x = -73 + 52

Combine like terms: -73 + 52 = -21
27x = -21

Divide each side by '27'.
x = -0.7777777778

Simplifying
x = -0.7777777778

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