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

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Solution for 3(x+5)-1+2x=2-(3-2x) equation: 


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

Reorder the terms:
3(5 + x) + -1 + 2x = 2 + -1(3 + -2x)
(5 * 3 + x * 3) + -1 + 2x = 2 + -1(3 + -2x)
(15 + 3x) + -1 + 2x = 2 + -1(3 + -2x)

Reorder the terms:
15 + -1 + 3x + 2x = 2 + -1(3 + -2x)

Combine like terms: 15 + -1 = 14
14 + 3x + 2x = 2 + -1(3 + -2x)

Combine like terms: 3x + 2x = 5x
14 + 5x = 2 + -1(3 + -2x)
14 + 5x = 2 + (3 * -1 + -2x * -1)
14 + 5x = 2 + (-3 + 2x)

Combine like terms: 2 + -3 = -1
14 + 5x = -1 + 2x

Solving
14 + 5x = -1 + 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.
14 + 5x + -2x = -1 + 2x + -2x

Combine like terms: 5x + -2x = 3x
14 + 3x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
14 + 3x = -1 + 0
14 + 3x = -1

Add '-14' to each side of the equation.
14 + -14 + 3x = -1 + -14

Combine like terms: 14 + -14 = 0
0 + 3x = -1 + -14
3x = -1 + -14

Combine like terms: -1 + -14 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5

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