37-(5x+5)=5(x+2)+x

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Solution for 37-(5x+5)=5(x+2)+x equation:


Simplifying
37 + -1(5x + 5) = 5(x + 2) + x

Reorder the terms:
37 + -1(5 + 5x) = 5(x + 2) + x
37 + (5 * -1 + 5x * -1) = 5(x + 2) + x
37 + (-5 + -5x) = 5(x + 2) + x

Combine like terms: 37 + -5 = 32
32 + -5x = 5(x + 2) + x

Reorder the terms:
32 + -5x = 5(2 + x) + x
32 + -5x = (2 * 5 + x * 5) + x
32 + -5x = (10 + 5x) + x

Combine like terms: 5x + x = 6x
32 + -5x = 10 + 6x

Solving
32 + -5x = 10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
32 + -5x + -6x = 10 + 6x + -6x

Combine like terms: -5x + -6x = -11x
32 + -11x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
32 + -11x = 10 + 0
32 + -11x = 10

Add '-32' to each side of the equation.
32 + -32 + -11x = 10 + -32

Combine like terms: 32 + -32 = 0
0 + -11x = 10 + -32
-11x = 10 + -32

Combine like terms: 10 + -32 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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