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

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


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

Reorder the terms:
3(-5 + x) + 5 = 5x + -2(5 + -1x)
(-5 * 3 + x * 3) + 5 = 5x + -2(5 + -1x)
(-15 + 3x) + 5 = 5x + -2(5 + -1x)

Reorder the terms:
-15 + 5 + 3x = 5x + -2(5 + -1x)

Combine like terms: -15 + 5 = -10
-10 + 3x = 5x + -2(5 + -1x)
-10 + 3x = 5x + (5 * -2 + -1x * -2)
-10 + 3x = 5x + (-10 + 2x)

Reorder the terms:
-10 + 3x = -10 + 5x + 2x

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

Add '10' to each side of the equation.
-10 + 10 + 3x = -10 + 10 + 7x

Combine like terms: -10 + 10 = 0
0 + 3x = -10 + 10 + 7x
3x = -10 + 10 + 7x

Combine like terms: -10 + 10 = 0
3x = 0 + 7x
3x = 7x

Solving
3x = 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
3x + -7x = 7x + -7x

Combine like terms: 3x + -7x = -4x
-4x = 7x + -7x

Combine like terms: 7x + -7x = 0
-4x = 0

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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