3(x+2)+7=5-2(x+3)

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Solution for 3(x+2)+7=5-2(x+3) equation:


Simplifying
3(x + 2) + 7 = 5 + -2(x + 3)

Reorder the terms:
3(2 + x) + 7 = 5 + -2(x + 3)
(2 * 3 + x * 3) + 7 = 5 + -2(x + 3)
(6 + 3x) + 7 = 5 + -2(x + 3)

Reorder the terms:
6 + 7 + 3x = 5 + -2(x + 3)

Combine like terms: 6 + 7 = 13
13 + 3x = 5 + -2(x + 3)

Reorder the terms:
13 + 3x = 5 + -2(3 + x)
13 + 3x = 5 + (3 * -2 + x * -2)
13 + 3x = 5 + (-6 + -2x)

Combine like terms: 5 + -6 = -1
13 + 3x = -1 + -2x

Solving
13 + 3x = -1 + -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.
13 + 3x + 2x = -1 + -2x + 2x

Combine like terms: 3x + 2x = 5x
13 + 5x = -1 + -2x + 2x

Combine like terms: -2x + 2x = 0
13 + 5x = -1 + 0
13 + 5x = -1

Add '-13' to each side of the equation.
13 + -13 + 5x = -1 + -13

Combine like terms: 13 + -13 = 0
0 + 5x = -1 + -13
5x = -1 + -13

Combine like terms: -1 + -13 = -14
5x = -14

Divide each side by '5'.
x = -2.8

Simplifying
x = -2.8

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