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

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


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

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

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

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

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

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

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

Combine like terms: -2x + 2x = 0
-2 + 5x = 3 + 0
-2 + 5x = 3

Add '2' to each side of the equation.
-2 + 2 + 5x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 3 + 2
5x = 3 + 2

Combine like terms: 3 + 2 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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