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

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


Simplifying
5x + (2x + -3) + -1(5x + 7) = 3(x + -5)

Reorder the terms:
5x + (-3 + 2x) + -1(5x + 7) = 3(x + -5)

Remove parenthesis around (-3 + 2x)
5x + -3 + 2x + -1(5x + 7) = 3(x + -5)

Reorder the terms:
5x + -3 + 2x + -1(7 + 5x) = 3(x + -5)
5x + -3 + 2x + (7 * -1 + 5x * -1) = 3(x + -5)
5x + -3 + 2x + (-7 + -5x) = 3(x + -5)

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

Combine like terms: -3 + -7 = -10
-10 + 5x + 2x + -5x = 3(x + -5)

Combine like terms: 5x + 2x = 7x
-10 + 7x + -5x = 3(x + -5)

Combine like terms: 7x + -5x = 2x
-10 + 2x = 3(x + -5)

Reorder the terms:
-10 + 2x = 3(-5 + x)
-10 + 2x = (-5 * 3 + x * 3)
-10 + 2x = (-15 + 3x)

Solving
-10 + 2x = -15 + 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 + 2x + -3x = -15 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-10 + -1x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + -1x = -15 + 0
-10 + -1x = -15

Add '10' to each side of the equation.
-10 + 10 + -1x = -15 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = -15 + 10
-1x = -15 + 10

Combine like terms: -15 + 10 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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