(2+x)*(3+2)=(x*3)+20

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


Simplifying
(2 + x)(3 + 2) = (x * 3) + 20

Combine like terms: 3 + 2 = 5
(2 + x)(5) = (x * 3) + 20

Reorder the terms for easier multiplication:
5(2 + x) = (x * 3) + 20
(2 * 5 + x * 5) = (x * 3) + 20
(10 + 5x) = (x * 3) + 20

Reorder the terms for easier multiplication:
10 + 5x = (3x) + 20

Reorder the terms:
10 + 5x = 20 + (3x)

Solving
10 + 5x = 20 + (3x)

Solving for variable 'x'.

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

Add '(-3x)' to each side of the equation.
10 + 5x + (-3x) = 20 + (3x) + (-3x)

Combine like terms: 5x + (-3x) = 2x
10 + 2x = 20 + (3x) + (-3x)

Combine like terms: (3x) + (-3x) = 0
10 + 2x = 20 + 0
10 + 2x = 20

Add '-10' to each side of the equation.
10 + -10 + 2x = 20 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 20 + -10
2x = 20 + -10

Combine like terms: 20 + -10 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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