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

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


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

Reorder the terms:
2(3 + x) + -3 = 8 + -2(2x + -5)
(3 * 2 + x * 2) + -3 = 8 + -2(2x + -5)
(6 + 2x) + -3 = 8 + -2(2x + -5)

Reorder the terms:
6 + -3 + 2x = 8 + -2(2x + -5)

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

Reorder the terms:
3 + 2x = 8 + -2(-5 + 2x)
3 + 2x = 8 + (-5 * -2 + 2x * -2)
3 + 2x = 8 + (10 + -4x)

Combine like terms: 8 + 10 = 18
3 + 2x = 18 + -4x

Solving
3 + 2x = 18 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.
3 + 2x + 4x = 18 + -4x + 4x

Combine like terms: 2x + 4x = 6x
3 + 6x = 18 + -4x + 4x

Combine like terms: -4x + 4x = 0
3 + 6x = 18 + 0
3 + 6x = 18

Add '-3' to each side of the equation.
3 + -3 + 6x = 18 + -3

Combine like terms: 3 + -3 = 0
0 + 6x = 18 + -3
6x = 18 + -3

Combine like terms: 18 + -3 = 15
6x = 15

Divide each side by '6'.
x = 2.5

Simplifying
x = 2.5

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