20x-(7x-8)=47

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Solution for 20x-(7x-8)=47 equation:


Simplifying
20x + -1(7x + -8) = 47

Reorder the terms:
20x + -1(-8 + 7x) = 47
20x + (-8 * -1 + 7x * -1) = 47
20x + (8 + -7x) = 47

Reorder the terms:
8 + 20x + -7x = 47

Combine like terms: 20x + -7x = 13x
8 + 13x = 47

Solving
8 + 13x = 47

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 13x = 47 + -8

Combine like terms: 8 + -8 = 0
0 + 13x = 47 + -8
13x = 47 + -8

Combine like terms: 47 + -8 = 39
13x = 39

Divide each side by '13'.
x = 3

Simplifying
x = 3

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