59-(5x+5)=5(x+2)+2

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Solution for 59-(5x+5)=5(x+2)+2 equation:


Simplifying
59 + -1(5x + 5) = 5(x + 2) + 2

Reorder the terms:
59 + -1(5 + 5x) = 5(x + 2) + 2
59 + (5 * -1 + 5x * -1) = 5(x + 2) + 2
59 + (-5 + -5x) = 5(x + 2) + 2

Combine like terms: 59 + -5 = 54
54 + -5x = 5(x + 2) + 2

Reorder the terms:
54 + -5x = 5(2 + x) + 2
54 + -5x = (2 * 5 + x * 5) + 2
54 + -5x = (10 + 5x) + 2

Reorder the terms:
54 + -5x = 10 + 2 + 5x

Combine like terms: 10 + 2 = 12
54 + -5x = 12 + 5x

Solving
54 + -5x = 12 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
54 + -5x + -5x = 12 + 5x + -5x

Combine like terms: -5x + -5x = -10x
54 + -10x = 12 + 5x + -5x

Combine like terms: 5x + -5x = 0
54 + -10x = 12 + 0
54 + -10x = 12

Add '-54' to each side of the equation.
54 + -54 + -10x = 12 + -54

Combine like terms: 54 + -54 = 0
0 + -10x = 12 + -54
-10x = 12 + -54

Combine like terms: 12 + -54 = -42
-10x = -42

Divide each side by '-10'.
x = 4.2

Simplifying
x = 4.2

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