6-(2x-5)=3x+1

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Solution for 6-(2x-5)=3x+1 equation: 


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

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

Combine like terms: 6 + 5 = 11
11 + -2x = 3x + 1

Reorder the terms:
11 + -2x = 1 + 3x

Solving
11 + -2x = 1 + 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.
11 + -2x + -3x = 1 + 3x + -3x

Combine like terms: -2x + -3x = -5x
11 + -5x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -5x = 1 + 0
11 + -5x = 1

Add '-11' to each side of the equation.
11 + -11 + -5x = 1 + -11

Combine like terms: 11 + -11 = 0
0 + -5x = 1 + -11
-5x = 1 + -11

Combine like terms: 1 + -11 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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