2(x+4)-5=2x+3(x-2)

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Solution for 2(x+4)-5=2x+3(x-2) equation:


Simplifying
2(x + 4) + -5 = 2x + 3(x + -2)

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

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

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

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

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

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

Solving
3 + 2x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3 + 2x + -5x = -6 + 5x + -5x

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

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

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

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

Combine like terms: -6 + -3 = -9
-3x = -9

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

Simplifying
x = 3

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