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

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


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

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

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

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

Solving
1 + 2x = 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.
1 + 2x + 3x = 6 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
1 + 5x = 6 + 0
1 + 5x = 6

Add '-1' to each side of the equation.
1 + -1 + 5x = 6 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 6 + -1
5x = 6 + -1

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

Divide each side by '5'.
x = 1

Simplifying
x = 1

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