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

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Solution for 5-(x+3)=1+2(x-3) equation: 


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

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

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

Reorder the terms:
2 + -1x = 1 + 2(-3 + x)
2 + -1x = 1 + (-3 * 2 + x * 2)
2 + -1x = 1 + (-6 + 2x)

Combine like terms: 1 + -6 = -5
2 + -1x = -5 + 2x

Solving
2 + -1x = -5 + 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 + -1x + -2x = -5 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
2 + -3x = -5 + 0
2 + -3x = -5

Add '-2' to each side of the equation.
2 + -2 + -3x = -5 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -5 + -2
-3x = -5 + -2

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

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333

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