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

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


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

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

Reorder the terms:
-15 + -3x = -3 + 5x + -2x

Combine like terms: 5x + -2x = 3x
-15 + -3x = -3 + 3x

Solving
-15 + -3x = -3 + 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.
-15 + -3x + -3x = -3 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-15 + -6x = -3 + 0
-15 + -6x = -3

Add '15' to each side of the equation.
-15 + 15 + -6x = -3 + 15

Combine like terms: -15 + 15 = 0
0 + -6x = -3 + 15
-6x = -3 + 15

Combine like terms: -3 + 15 = 12
-6x = 12

Divide each side by '-6'.
x = -2

Simplifying
x = -2

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