2x-5+8=3x+2(2-3x)

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Solution for 2x-5+8=3x+2(2-3x) equation:


Simplifying
2x + -5 + 8 = 3x + 2(2 + -3x)

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

Combine like terms: -5 + 8 = 3
3 + 2x = 3x + 2(2 + -3x)
3 + 2x = 3x + (2 * 2 + -3x * 2)
3 + 2x = 3x + (4 + -6x)

Reorder the terms:
3 + 2x = 4 + 3x + -6x

Combine like terms: 3x + -6x = -3x
3 + 2x = 4 + -3x

Solving
3 + 2x = 4 + -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.
3 + 2x + 3x = 4 + -3x + 3x

Combine like terms: 2x + 3x = 5x
3 + 5x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
3 + 5x = 4 + 0
3 + 5x = 4

Add '-3' to each side of the equation.
3 + -3 + 5x = 4 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 4 + -3
5x = 4 + -3

Combine like terms: 4 + -3 = 1
5x = 1

Divide each side by '5'.
x = 0.2

Simplifying
x = 0.2

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