9(x-2)=-3(x+1)+37

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Solution for 9(x-2)=-3(x+1)+37 equation: 


Simplifying
9(x + -2) = -3(x + 1) + 37

Reorder the terms:
9(-2 + x) = -3(x + 1) + 37
(-2 * 9 + x * 9) = -3(x + 1) + 37
(-18 + 9x) = -3(x + 1) + 37

Reorder the terms:
-18 + 9x = -3(1 + x) + 37
-18 + 9x = (1 * -3 + x * -3) + 37
-18 + 9x = (-3 + -3x) + 37

Reorder the terms:
-18 + 9x = -3 + 37 + -3x

Combine like terms: -3 + 37 = 34
-18 + 9x = 34 + -3x

Solving
-18 + 9x = 34 + -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.
-18 + 9x + 3x = 34 + -3x + 3x

Combine like terms: 9x + 3x = 12x
-18 + 12x = 34 + -3x + 3x

Combine like terms: -3x + 3x = 0
-18 + 12x = 34 + 0
-18 + 12x = 34

Add '18' to each side of the equation.
-18 + 18 + 12x = 34 + 18

Combine like terms: -18 + 18 = 0
0 + 12x = 34 + 18
12x = 34 + 18

Combine like terms: 34 + 18 = 52
12x = 52

Divide each side by '12'.
x = 4.333333333

Simplifying
x = 4.333333333

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