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

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


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

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

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

Solving
7 + -7x = 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.
7 + -7x + 3x = 13 + -3x + 3x

Combine like terms: -7x + 3x = -4x
7 + -4x = 13 + -3x + 3x

Combine like terms: -3x + 3x = 0
7 + -4x = 13 + 0
7 + -4x = 13

Add '-7' to each side of the equation.
7 + -7 + -4x = 13 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 13 + -7
-4x = 13 + -7

Combine like terms: 13 + -7 = 6
-4x = 6

Divide each side by '-4'.
x = -1.5

Simplifying
x = -1.5

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