2(x-9)-5(2x+3)=x-33

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Solution for 2(x-9)-5(2x+3)=x-33 equation: 


Simplifying
2(x + -9) + -5(2x + 3) = x + -33

Reorder the terms:
2(-9 + x) + -5(2x + 3) = x + -33
(-9 * 2 + x * 2) + -5(2x + 3) = x + -33
(-18 + 2x) + -5(2x + 3) = x + -33

Reorder the terms:
-18 + 2x + -5(3 + 2x) = x + -33
-18 + 2x + (3 * -5 + 2x * -5) = x + -33
-18 + 2x + (-15 + -10x) = x + -33

Reorder the terms:
-18 + -15 + 2x + -10x = x + -33

Combine like terms: -18 + -15 = -33
-33 + 2x + -10x = x + -33

Combine like terms: 2x + -10x = -8x
-33 + -8x = x + -33

Reorder the terms:
-33 + -8x = -33 + x

Add '33' to each side of the equation.
-33 + 33 + -8x = -33 + 33 + x

Combine like terms: -33 + 33 = 0
0 + -8x = -33 + 33 + x
-8x = -33 + 33 + x

Combine like terms: -33 + 33 = 0
-8x = 0 + x
-8x = x

Solving
-8x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-8x + -1x = x + -1x

Combine like terms: -8x + -1x = -9x
-9x = x + -1x

Combine like terms: x + -1x = 0
-9x = 0

Divide each side by '-9'.
x = 0

Simplifying
x = 0

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