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

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


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

Reorder the terms:
6 + 1 + -2x = 2x + -5

Combine like terms: 6 + 1 = 7
7 + -2x = 2x + -5

Reorder the terms:
7 + -2x = -5 + 2x

Solving
7 + -2x = -5 + 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.
7 + -2x + -2x = -5 + 2x + -2x

Combine like terms: -2x + -2x = -4x
7 + -4x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + -4x = -5 + 0
7 + -4x = -5

Add '-7' to each side of the equation.
7 + -7 + -4x = -5 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = -5 + -7
-4x = -5 + -7

Combine like terms: -5 + -7 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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