(2-x)-(7-3x)=5+6x

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Solution for (2-x)-(7-3x)=5+6x equation:


Simplifying
(2 + -1x) + -1(7 + -3x) = 5 + 6x

Remove parenthesis around (2 + -1x)
2 + -1x + -1(7 + -3x) = 5 + 6x
2 + -1x + (7 * -1 + -3x * -1) = 5 + 6x
2 + -1x + (-7 + 3x) = 5 + 6x

Reorder the terms:
2 + -7 + -1x + 3x = 5 + 6x

Combine like terms: 2 + -7 = -5
-5 + -1x + 3x = 5 + 6x

Combine like terms: -1x + 3x = 2x
-5 + 2x = 5 + 6x

Solving
-5 + 2x = 5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-5 + 2x + -6x = 5 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-5 + -4x = 5 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -4x = 5 + 0
-5 + -4x = 5

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

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

Combine like terms: 5 + 5 = 10
-4x = 10

Divide each side by '-4'.
x = -2.5

Simplifying
x = -2.5

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