5-6(2x-8)=13-7x

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Solution for 5-6(2x-8)=13-7x equation:


Simplifying
5 + -6(2x + -8) = 13 + -7x

Reorder the terms:
5 + -6(-8 + 2x) = 13 + -7x
5 + (-8 * -6 + 2x * -6) = 13 + -7x
5 + (48 + -12x) = 13 + -7x

Combine like terms: 5 + 48 = 53
53 + -12x = 13 + -7x

Solving
53 + -12x = 13 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
53 + -12x + 7x = 13 + -7x + 7x

Combine like terms: -12x + 7x = -5x
53 + -5x = 13 + -7x + 7x

Combine like terms: -7x + 7x = 0
53 + -5x = 13 + 0
53 + -5x = 13

Add '-53' to each side of the equation.
53 + -53 + -5x = 13 + -53

Combine like terms: 53 + -53 = 0
0 + -5x = 13 + -53
-5x = 13 + -53

Combine like terms: 13 + -53 = -40
-5x = -40

Divide each side by '-5'.
x = 8

Simplifying
x = 8

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