13-2(4x-5)=7

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Solution for 13-2(4x-5)=7 equation: 


Simplifying
13 + -2(4x + -5) = 7

Reorder the terms:
13 + -2(-5 + 4x) = 7
13 + (-5 * -2 + 4x * -2) = 7
13 + (10 + -8x) = 7

Combine like terms: 13 + 10 = 23
23 + -8x = 7

Solving
23 + -8x = 7

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + -8x = 7 + -23

Combine like terms: 23 + -23 = 0
0 + -8x = 7 + -23
-8x = 7 + -23

Combine like terms: 7 + -23 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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