3x+4=-2(x+2)-5

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Solution for 3x+4=-2(x+2)-5 equation:


Simplifying
3x + 4 = -2(x + 2) + -5

Reorder the terms:
4 + 3x = -2(x + 2) + -5

Reorder the terms:
4 + 3x = -2(2 + x) + -5
4 + 3x = (2 * -2 + x * -2) + -5
4 + 3x = (-4 + -2x) + -5

Reorder the terms:
4 + 3x = -4 + -5 + -2x

Combine like terms: -4 + -5 = -9
4 + 3x = -9 + -2x

Solving
4 + 3x = -9 + -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 = -9 + -2x + 2x

Combine like terms: 3x + 2x = 5x
4 + 5x = -9 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 5x = -9 + 0
4 + 5x = -9

Add '-4' to each side of the equation.
4 + -4 + 5x = -9 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = -9 + -4
5x = -9 + -4

Combine like terms: -9 + -4 = -13
5x = -13

Divide each side by '5'.
x = -2.6

Simplifying
x = -2.6

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