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

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


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

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

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

Combine like terms: 2x + -5x = -3x
-15 + -3x = -1(2x + 5)

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

Solving
-15 + -3x = -5 + -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.
-15 + -3x + 2x = -5 + -2x + 2x

Combine like terms: -3x + 2x = -1x
-15 + -1x = -5 + -2x + 2x

Combine like terms: -2x + 2x = 0
-15 + -1x = -5 + 0
-15 + -1x = -5

Add '15' to each side of the equation.
-15 + 15 + -1x = -5 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = -5 + 15
-1x = -5 + 15

Combine like terms: -5 + 15 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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