2(x+3-8)=x+2(x+2)-33

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Solution for 2(x+3-8)=x+2(x+2)-33 equation: 


Simplifying
2(x + 3 + -8) = x + 2(x + 2) + -33

Reorder the terms:
2(3 + -8 + x) = x + 2(x + 2) + -33

Combine like terms: 3 + -8 = -5
2(-5 + x) = x + 2(x + 2) + -33
(-5 * 2 + x * 2) = x + 2(x + 2) + -33
(-10 + 2x) = x + 2(x + 2) + -33

Reorder the terms:
-10 + 2x = x + 2(2 + x) + -33
-10 + 2x = x + (2 * 2 + x * 2) + -33
-10 + 2x = x + (4 + 2x) + -33

Reorder the terms:
-10 + 2x = 4 + -33 + x + 2x

Combine like terms: 4 + -33 = -29
-10 + 2x = -29 + x + 2x

Combine like terms: x + 2x = 3x
-10 + 2x = -29 + 3x

Solving
-10 + 2x = -29 + 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.
-10 + 2x + -3x = -29 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-10 + -1x = -29 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + -1x = -29 + 0
-10 + -1x = -29

Add '10' to each side of the equation.
-10 + 10 + -1x = -29 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = -29 + 10
-1x = -29 + 10

Combine like terms: -29 + 10 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19

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