5x-2(x+2)=-(2x+15)

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Solution for 5x-2(x+2)=-(2x+15) equation:


Simplifying
5x + -2(x + 2) = -1(2x + 15)

Reorder the terms:
5x + -2(2 + x) = -1(2x + 15)
5x + (2 * -2 + x * -2) = -1(2x + 15)
5x + (-4 + -2x) = -1(2x + 15)

Reorder the terms:
-4 + 5x + -2x = -1(2x + 15)

Combine like terms: 5x + -2x = 3x
-4 + 3x = -1(2x + 15)

Reorder the terms:
-4 + 3x = -1(15 + 2x)
-4 + 3x = (15 * -1 + 2x * -1)
-4 + 3x = (-15 + -2x)

Solving
-4 + 3x = -15 + -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.
-4 + 3x + 2x = -15 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-4 + 5x = -15 + -2x + 2x

Combine like terms: -2x + 2x = 0
-4 + 5x = -15 + 0
-4 + 5x = -15

Add '4' to each side of the equation.
-4 + 4 + 5x = -15 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = -15 + 4
5x = -15 + 4

Combine like terms: -15 + 4 = -11
5x = -11

Divide each side by '5'.
x = -2.2

Simplifying
x = -2.2

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