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

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


Simplifying
2(5 + -2x) + 1 = 3(x + 3) + -5x
(5 * 2 + -2x * 2) + 1 = 3(x + 3) + -5x
(10 + -4x) + 1 = 3(x + 3) + -5x

Reorder the terms:
10 + 1 + -4x = 3(x + 3) + -5x

Combine like terms: 10 + 1 = 11
11 + -4x = 3(x + 3) + -5x

Reorder the terms:
11 + -4x = 3(3 + x) + -5x
11 + -4x = (3 * 3 + x * 3) + -5x
11 + -4x = (9 + 3x) + -5x

Combine like terms: 3x + -5x = -2x
11 + -4x = 9 + -2x

Solving
11 + -4x = 9 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
11 + -4x + 2x = 9 + -2x + 2x

Combine like terms: -4x + 2x = -2x
11 + -2x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
11 + -2x = 9 + 0
11 + -2x = 9

Add '-11' to each side of the equation.
11 + -11 + -2x = 9 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 9 + -11
-2x = 9 + -11

Combine like terms: 9 + -11 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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