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

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


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

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

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

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

Combine like terms: 5 + 10 = 15
3 + 2x = 15 + -2x

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

Combine like terms: 2x + 2x = 4x
3 + 4x = 15 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + 4x = 15 + 0
3 + 4x = 15

Add '-3' to each side of the equation.
3 + -3 + 4x = 15 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 15 + -3
4x = 15 + -3

Combine like terms: 15 + -3 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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