2(4-3x)+1=2(x+3)-5x

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Solution for 2(4-3x)+1=2(x+3)-5x equation: 


Simplifying
2(4 + -3x) + 1 = 2(x + 3) + -5x
(4 * 2 + -3x * 2) + 1 = 2(x + 3) + -5x
(8 + -6x) + 1 = 2(x + 3) + -5x

Reorder the terms:
8 + 1 + -6x = 2(x + 3) + -5x

Combine like terms: 8 + 1 = 9
9 + -6x = 2(x + 3) + -5x

Reorder the terms:
9 + -6x = 2(3 + x) + -5x
9 + -6x = (3 * 2 + x * 2) + -5x
9 + -6x = (6 + 2x) + -5x

Combine like terms: 2x + -5x = -3x
9 + -6x = 6 + -3x

Solving
9 + -6x = 6 + -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.
9 + -6x + 3x = 6 + -3x + 3x

Combine like terms: -6x + 3x = -3x
9 + -3x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
9 + -3x = 6 + 0
9 + -3x = 6

Add '-9' to each side of the equation.
9 + -9 + -3x = 6 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = 6 + -9
-3x = 6 + -9

Combine like terms: 6 + -9 = -3
-3x = -3

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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