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

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


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

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

Remove parenthesis around (7 + -2x)
7 + -2x = (13x + -5)

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

Remove parenthesis around (-5 + 13x)
7 + -2x = -5 + 13x

Solving
7 + -2x = -5 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
7 + -2x + -13x = -5 + 13x + -13x

Combine like terms: -2x + -13x = -15x
7 + -15x = -5 + 13x + -13x

Combine like terms: 13x + -13x = 0
7 + -15x = -5 + 0
7 + -15x = -5

Add '-7' to each side of the equation.
7 + -7 + -15x = -5 + -7

Combine like terms: 7 + -7 = 0
0 + -15x = -5 + -7
-15x = -5 + -7

Combine like terms: -5 + -7 = -12
-15x = -12

Divide each side by '-15'.
x = 0.8

Simplifying
x = 0.8

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