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

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


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

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

Remove parenthesis around (1 + 2x)
1 + 2x = 8 + -1(3x + 3)

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

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

Solving
1 + 2x = 5 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
1 + 2x + 3x = 5 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
1 + 5x = 5 + 0
1 + 5x = 5

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

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

Combine like terms: 5 + -1 = 4
5x = 4

Divide each side by '5'.
x = 0.8

Simplifying
x = 0.8

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