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

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


Simplifying
(x + 3) + -2(3x + -7) = 5 + -1(x + 3)

Reorder the terms:
(3 + x) + -2(3x + -7) = 5 + -1(x + 3)

Remove parenthesis around (3 + x)
3 + x + -2(3x + -7) = 5 + -1(x + 3)

Reorder the terms:
3 + x + -2(-7 + 3x) = 5 + -1(x + 3)
3 + x + (-7 * -2 + 3x * -2) = 5 + -1(x + 3)
3 + x + (14 + -6x) = 5 + -1(x + 3)

Reorder the terms:
3 + 14 + x + -6x = 5 + -1(x + 3)

Combine like terms: 3 + 14 = 17
17 + x + -6x = 5 + -1(x + 3)

Combine like terms: x + -6x = -5x
17 + -5x = 5 + -1(x + 3)

Reorder the terms:
17 + -5x = 5 + -1(3 + x)
17 + -5x = 5 + (3 * -1 + x * -1)
17 + -5x = 5 + (-3 + -1x)

Combine like terms: 5 + -3 = 2
17 + -5x = 2 + -1x

Solving
17 + -5x = 2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
17 + -5x + x = 2 + -1x + x

Combine like terms: -5x + x = -4x
17 + -4x = 2 + -1x + x

Combine like terms: -1x + x = 0
17 + -4x = 2 + 0
17 + -4x = 2

Add '-17' to each side of the equation.
17 + -17 + -4x = 2 + -17

Combine like terms: 17 + -17 = 0
0 + -4x = 2 + -17
-4x = 2 + -17

Combine like terms: 2 + -17 = -15
-4x = -15

Divide each side by '-4'.
x = 3.75

Simplifying
x = 3.75

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