3(x+5)=2x-13-(3x-28)

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Solution for 3(x+5)=2x-13-(3x-28) equation: 


Simplifying
3(x + 5) = 2x + -13 + -1(3x + -28)

Reorder the terms:
3(5 + x) = 2x + -13 + -1(3x + -28)
(5 * 3 + x * 3) = 2x + -13 + -1(3x + -28)
(15 + 3x) = 2x + -13 + -1(3x + -28)

Reorder the terms:
15 + 3x = 2x + -13 + -1(-28 + 3x)
15 + 3x = 2x + -13 + (-28 * -1 + 3x * -1)
15 + 3x = 2x + -13 + (28 + -3x)

Reorder the terms:
15 + 3x = -13 + 28 + 2x + -3x

Combine like terms: -13 + 28 = 15
15 + 3x = 15 + 2x + -3x

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

Add '-15' to each side of the equation.
15 + -15 + 3x = 15 + -15 + -1x

Combine like terms: 15 + -15 = 0
0 + 3x = 15 + -15 + -1x
3x = 15 + -15 + -1x

Combine like terms: 15 + -15 = 0
3x = 0 + -1x
3x = -1x

Solving
3x = -1x

Solving for variable 'x'.

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

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

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

Combine like terms: -1x + x = 0
4x = 0

Divide each side by '4'.
x = 0

Simplifying
x = 0

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