2x-(7x+5)=13-3x

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Solution for 2x-(7x+5)=13-3x equation:


Simplifying
2x + -1(7x + 5) = 13 + -3x

Reorder the terms:
2x + -1(5 + 7x) = 13 + -3x
2x + (5 * -1 + 7x * -1) = 13 + -3x
2x + (-5 + -7x) = 13 + -3x

Reorder the terms:
-5 + 2x + -7x = 13 + -3x

Combine like terms: 2x + -7x = -5x
-5 + -5x = 13 + -3x

Solving
-5 + -5x = 13 + -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.
-5 + -5x + 3x = 13 + -3x + 3x

Combine like terms: -5x + 3x = -2x
-5 + -2x = 13 + -3x + 3x

Combine like terms: -3x + 3x = 0
-5 + -2x = 13 + 0
-5 + -2x = 13

Add '5' to each side of the equation.
-5 + 5 + -2x = 13 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 13 + 5
-2x = 13 + 5

Combine like terms: 13 + 5 = 18
-2x = 18

Divide each side by '-2'.
x = -9

Simplifying
x = -9

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