5+(8-2x)=15-(3x-1)

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Solution for 5+(8-2x)=15-(3x-1) equation:


Simplifying
5 + (8 + -2x) = 15 + -1(3x + -1)

Remove parenthesis around (8 + -2x)
5 + 8 + -2x = 15 + -1(3x + -1)

Combine like terms: 5 + 8 = 13
13 + -2x = 15 + -1(3x + -1)

Reorder the terms:
13 + -2x = 15 + -1(-1 + 3x)
13 + -2x = 15 + (-1 * -1 + 3x * -1)
13 + -2x = 15 + (1 + -3x)

Combine like terms: 15 + 1 = 16
13 + -2x = 16 + -3x

Solving
13 + -2x = 16 + -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.
13 + -2x + 3x = 16 + -3x + 3x

Combine like terms: -2x + 3x = 1x
13 + 1x = 16 + -3x + 3x

Combine like terms: -3x + 3x = 0
13 + 1x = 16 + 0
13 + 1x = 16

Add '-13' to each side of the equation.
13 + -13 + 1x = 16 + -13

Combine like terms: 13 + -13 = 0
0 + 1x = 16 + -13
1x = 16 + -13

Combine like terms: 16 + -13 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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