52-(2x+7)=2(x+5)+5

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Solution for 52-(2x+7)=2(x+5)+5 equation: 


Simplifying
52 + -1(2x + 7) = 2(x + 5) + 5

Reorder the terms:
52 + -1(7 + 2x) = 2(x + 5) + 5
52 + (7 * -1 + 2x * -1) = 2(x + 5) + 5
52 + (-7 + -2x) = 2(x + 5) + 5

Combine like terms: 52 + -7 = 45
45 + -2x = 2(x + 5) + 5

Reorder the terms:
45 + -2x = 2(5 + x) + 5
45 + -2x = (5 * 2 + x * 2) + 5
45 + -2x = (10 + 2x) + 5

Reorder the terms:
45 + -2x = 10 + 5 + 2x

Combine like terms: 10 + 5 = 15
45 + -2x = 15 + 2x

Solving
45 + -2x = 15 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
45 + -2x + -2x = 15 + 2x + -2x

Combine like terms: -2x + -2x = -4x
45 + -4x = 15 + 2x + -2x

Combine like terms: 2x + -2x = 0
45 + -4x = 15 + 0
45 + -4x = 15

Add '-45' to each side of the equation.
45 + -45 + -4x = 15 + -45

Combine like terms: 45 + -45 = 0
0 + -4x = 15 + -45
-4x = 15 + -45

Combine like terms: 15 + -45 = -30
-4x = -30

Divide each side by '-4'.
x = 7.5

Simplifying
x = 7.5

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