2x+9-5+3=3-2(3x+4)-3

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Solution for 2x+9-5+3=3-2(3x+4)-3 equation: 


Simplifying
2x + 9 + -5 + 3 = 3 + -2(3x + 4) + -3

Reorder the terms:
9 + -5 + 3 + 2x = 3 + -2(3x + 4) + -3

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

Combine like terms: 4 + 3 = 7
7 + 2x = 3 + -2(3x + 4) + -3

Reorder the terms:
7 + 2x = 3 + -2(4 + 3x) + -3
7 + 2x = 3 + (4 * -2 + 3x * -2) + -3
7 + 2x = 3 + (-8 + -6x) + -3

Reorder the terms:
7 + 2x = 3 + -8 + -3 + -6x

Combine like terms: 3 + -8 = -5
7 + 2x = -5 + -3 + -6x

Combine like terms: -5 + -3 = -8
7 + 2x = -8 + -6x

Solving
7 + 2x = -8 + -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.
7 + 2x + 6x = -8 + -6x + 6x

Combine like terms: 2x + 6x = 8x
7 + 8x = -8 + -6x + 6x

Combine like terms: -6x + 6x = 0
7 + 8x = -8 + 0
7 + 8x = -8

Add '-7' to each side of the equation.
7 + -7 + 8x = -8 + -7

Combine like terms: 7 + -7 = 0
0 + 8x = -8 + -7
8x = -8 + -7

Combine like terms: -8 + -7 = -15
8x = -15

Divide each side by '8'.
x = -1.875

Simplifying
x = -1.875

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