2(x+1)-3(x-5)+3=30

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Solution for 2(x+1)-3(x-5)+3=30 equation: 


Simplifying
2(x + 1) + -3(x + -5) + 3 = 30

Reorder the terms:
2(1 + x) + -3(x + -5) + 3 = 30
(1 * 2 + x * 2) + -3(x + -5) + 3 = 30
(2 + 2x) + -3(x + -5) + 3 = 30

Reorder the terms:
2 + 2x + -3(-5 + x) + 3 = 30
2 + 2x + (-5 * -3 + x * -3) + 3 = 30
2 + 2x + (15 + -3x) + 3 = 30

Reorder the terms:
2 + 15 + 3 + 2x + -3x = 30

Combine like terms: 2 + 15 = 17
17 + 3 + 2x + -3x = 30

Combine like terms: 17 + 3 = 20
20 + 2x + -3x = 30

Combine like terms: 2x + -3x = -1x
20 + -1x = 30

Solving
20 + -1x = 30

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 30 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 30 + -20
-1x = 30 + -20

Combine like terms: 30 + -20 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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