(x-5)(3)=(x+7)(2)

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Solution for (x-5)(3)=(x+7)(2) equation:


Simplifying
(x + -5)(3) = (x + 7)(2)

Reorder the terms:
(-5 + x)(3) = (x + 7)(2)

Reorder the terms for easier multiplication:
3(-5 + x) = (x + 7)(2)
(-5 * 3 + x * 3) = (x + 7)(2)
(-15 + 3x) = (x + 7)(2)

Reorder the terms:
-15 + 3x = (7 + x)(2)

Reorder the terms for easier multiplication:
-15 + 3x = 2(7 + x)
-15 + 3x = (7 * 2 + x * 2)
-15 + 3x = (14 + 2x)

Solving
-15 + 3x = 14 + 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.
-15 + 3x + -2x = 14 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-15 + 1x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 1x = 14 + 0
-15 + 1x = 14

Add '15' to each side of the equation.
-15 + 15 + 1x = 14 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = 14 + 15
1x = 14 + 15

Combine like terms: 14 + 15 = 29
1x = 29

Divide each side by '1'.
x = 29

Simplifying
x = 29

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