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

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


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

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

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

Combine like terms: -5 + -2 = -7
-7 + 3x + -1x = (3 + -7x) + 5

Combine like terms: 3x + -1x = 2x
-7 + 2x = (3 + -7x) + 5

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

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

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

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

Solving for variable 'x'.

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

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

Combine like terms: 2x + 7x = 9x
-7 + 9x = 8 + -7x + 7x

Combine like terms: -7x + 7x = 0
-7 + 9x = 8 + 0
-7 + 9x = 8

Add '7' to each side of the equation.
-7 + 7 + 9x = 8 + 7

Combine like terms: -7 + 7 = 0
0 + 9x = 8 + 7
9x = 8 + 7

Combine like terms: 8 + 7 = 15
9x = 15

Divide each side by '9'.
x = 1.666666667

Simplifying
x = 1.666666667

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