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

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


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

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

Reorder the terms:
3 + X = 5(-2 + 2x) + -1(7 + -1x)
3 + X = (-2 * 5 + 2x * 5) + -1(7 + -1x)
3 + X = (-10 + 10x) + -1(7 + -1x)
3 + X = -10 + 10x + (7 * -1 + -1x * -1)
3 + X = -10 + 10x + (-7 + 1x)

Reorder the terms:
3 + X = -10 + -7 + 10x + 1x

Combine like terms: -10 + -7 = -17
3 + X = -17 + 10x + 1x

Combine like terms: 10x + 1x = 11x
3 + X = -17 + 11x

Solving
3 + X = -17 + 11x

Solving for variable 'X'.

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

Add '-3' to each side of the equation.
3 + -3 + X = -17 + -3 + 11x

Combine like terms: 3 + -3 = 0
0 + X = -17 + -3 + 11x
X = -17 + -3 + 11x

Combine like terms: -17 + -3 = -20
X = -20 + 11x

Simplifying
X = -20 + 11x

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