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

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


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

Reorder the terms:
3(-5 + x) + -5(x + -3) = x + 7 + -1(x + -3)
(-5 * 3 + x * 3) + -5(x + -3) = x + 7 + -1(x + -3)
(-15 + 3x) + -5(x + -3) = x + 7 + -1(x + -3)

Reorder the terms:
-15 + 3x + -5(-3 + x) = x + 7 + -1(x + -3)
-15 + 3x + (-3 * -5 + x * -5) = x + 7 + -1(x + -3)
-15 + 3x + (15 + -5x) = x + 7 + -1(x + -3)

Reorder the terms:
-15 + 15 + 3x + -5x = x + 7 + -1(x + -3)

Combine like terms: -15 + 15 = 0
0 + 3x + -5x = x + 7 + -1(x + -3)
3x + -5x = x + 7 + -1(x + -3)

Combine like terms: 3x + -5x = -2x
-2x = x + 7 + -1(x + -3)

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

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

Combine like terms: 7 + 3 = 10
-2x = 10 + x + -1x

Combine like terms: x + -1x = 0
-2x = 10 + 0
-2x = 10

Solving
-2x = 10

Solving for variable 'x'.

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

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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