20(x-3)+3(2-x)+5=5(2x+5)+3

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Solution for 20(x-3)+3(2-x)+5=5(2x+5)+3 equation:


Simplifying
20(x + -3) + 3(2 + -1x) + 5 = 5(2x + 5) + 3

Reorder the terms:
20(-3 + x) + 3(2 + -1x) + 5 = 5(2x + 5) + 3
(-3 * 20 + x * 20) + 3(2 + -1x) + 5 = 5(2x + 5) + 3
(-60 + 20x) + 3(2 + -1x) + 5 = 5(2x + 5) + 3
-60 + 20x + (2 * 3 + -1x * 3) + 5 = 5(2x + 5) + 3
-60 + 20x + (6 + -3x) + 5 = 5(2x + 5) + 3

Reorder the terms:
-60 + 6 + 5 + 20x + -3x = 5(2x + 5) + 3

Combine like terms: -60 + 6 = -54
-54 + 5 + 20x + -3x = 5(2x + 5) + 3

Combine like terms: -54 + 5 = -49
-49 + 20x + -3x = 5(2x + 5) + 3

Combine like terms: 20x + -3x = 17x
-49 + 17x = 5(2x + 5) + 3

Reorder the terms:
-49 + 17x = 5(5 + 2x) + 3
-49 + 17x = (5 * 5 + 2x * 5) + 3
-49 + 17x = (25 + 10x) + 3

Reorder the terms:
-49 + 17x = 25 + 3 + 10x

Combine like terms: 25 + 3 = 28
-49 + 17x = 28 + 10x

Solving
-49 + 17x = 28 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-49 + 17x + -10x = 28 + 10x + -10x

Combine like terms: 17x + -10x = 7x
-49 + 7x = 28 + 10x + -10x

Combine like terms: 10x + -10x = 0
-49 + 7x = 28 + 0
-49 + 7x = 28

Add '49' to each side of the equation.
-49 + 49 + 7x = 28 + 49

Combine like terms: -49 + 49 = 0
0 + 7x = 28 + 49
7x = 28 + 49

Combine like terms: 28 + 49 = 77
7x = 77

Divide each side by '7'.
x = 11

Simplifying
x = 11

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