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

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


Simplifying
2(5 + -1x) + -9 = 3 + 2(1 + 2x)
(5 * 2 + -1x * 2) + -9 = 3 + 2(1 + 2x)
(10 + -2x) + -9 = 3 + 2(1 + 2x)

Reorder the terms:
10 + -9 + -2x = 3 + 2(1 + 2x)

Combine like terms: 10 + -9 = 1
1 + -2x = 3 + 2(1 + 2x)
1 + -2x = 3 + (1 * 2 + 2x * 2)
1 + -2x = 3 + (2 + 4x)

Combine like terms: 3 + 2 = 5
1 + -2x = 5 + 4x

Solving
1 + -2x = 5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
1 + -2x + -4x = 5 + 4x + -4x

Combine like terms: -2x + -4x = -6x
1 + -6x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
1 + -6x = 5 + 0
1 + -6x = 5

Add '-1' to each side of the equation.
1 + -1 + -6x = 5 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = 5 + -1
-6x = 5 + -1

Combine like terms: 5 + -1 = 4
-6x = 4

Divide each side by '-6'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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