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

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


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

Reorder the terms:
5x + -2(-3 + x) = 5 + -3(x + 2)
5x + (-3 * -2 + x * -2) = 5 + -3(x + 2)
5x + (6 + -2x) = 5 + -3(x + 2)

Reorder the terms:
6 + 5x + -2x = 5 + -3(x + 2)

Combine like terms: 5x + -2x = 3x
6 + 3x = 5 + -3(x + 2)

Reorder the terms:
6 + 3x = 5 + -3(2 + x)
6 + 3x = 5 + (2 * -3 + x * -3)
6 + 3x = 5 + (-6 + -3x)

Combine like terms: 5 + -6 = -1
6 + 3x = -1 + -3x

Solving
6 + 3x = -1 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6 + 3x + 3x = -1 + -3x + 3x

Combine like terms: 3x + 3x = 6x
6 + 6x = -1 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 6x = -1 + 0
6 + 6x = -1

Add '-6' to each side of the equation.
6 + -6 + 6x = -1 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = -1 + -6
6x = -1 + -6

Combine like terms: -1 + -6 = -7
6x = -7

Divide each side by '6'.
x = -1.166666667

Simplifying
x = -1.166666667

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