8+3x-5=(x+3)-3(x+2)-1

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Solution for 8+3x-5=(x+3)-3(x+2)-1 equation:


Simplifying
8 + 3x + -5 = (x + 3) + -3(x + 2) + -1

Reorder the terms:
8 + -5 + 3x = (x + 3) + -3(x + 2) + -1

Combine like terms: 8 + -5 = 3
3 + 3x = (x + 3) + -3(x + 2) + -1

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

Remove parenthesis around (3 + x)
3 + 3x = 3 + x + -3(x + 2) + -1

Reorder the terms:
3 + 3x = 3 + x + -3(2 + x) + -1
3 + 3x = 3 + x + (2 * -3 + x * -3) + -1
3 + 3x = 3 + x + (-6 + -3x) + -1

Reorder the terms:
3 + 3x = 3 + -6 + -1 + x + -3x

Combine like terms: 3 + -6 = -3
3 + 3x = -3 + -1 + x + -3x

Combine like terms: -3 + -1 = -4
3 + 3x = -4 + x + -3x

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

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

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

Combine like terms: -2x + 2x = 0
3 + 5x = -4 + 0
3 + 5x = -4

Add '-3' to each side of the equation.
3 + -3 + 5x = -4 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = -4 + -3
5x = -4 + -3

Combine like terms: -4 + -3 = -7
5x = -7

Divide each side by '5'.
x = -1.4

Simplifying
x = -1.4

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