5+(2x-3)=x-(3x+10)

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Solution for 5+(2x-3)=x-(3x+10) equation:


Simplifying
5 + (2x + -3) = x + -1(3x + 10)

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

Remove parenthesis around (-3 + 2x)
5 + -3 + 2x = x + -1(3x + 10)

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

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

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

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

Solving
2 + 2x = -10 + -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.
2 + 2x + 2x = -10 + -2x + 2x

Combine like terms: 2x + 2x = 4x
2 + 4x = -10 + -2x + 2x

Combine like terms: -2x + 2x = 0
2 + 4x = -10 + 0
2 + 4x = -10

Add '-2' to each side of the equation.
2 + -2 + 4x = -10 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = -10 + -2
4x = -10 + -2

Combine like terms: -10 + -2 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3

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