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

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


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

Reorder the terms:
3(2 + x) = 5 + -1(x + -3)
(2 * 3 + x * 3) = 5 + -1(x + -3)
(6 + 3x) = 5 + -1(x + -3)

Reorder the terms:
6 + 3x = 5 + -1(-3 + x)
6 + 3x = 5 + (-3 * -1 + x * -1)
6 + 3x = 5 + (3 + -1x)

Combine like terms: 5 + 3 = 8
6 + 3x = 8 + -1x

Solving
6 + 3x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + 3x + x = 8 + -1x + x

Combine like terms: 3x + x = 4x
6 + 4x = 8 + -1x + x

Combine like terms: -1x + x = 0
6 + 4x = 8 + 0
6 + 4x = 8

Add '-6' to each side of the equation.
6 + -6 + 4x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 8 + -6
4x = 8 + -6

Combine like terms: 8 + -6 = 2
4x = 2

Divide each side by '4'.
x = 0.5

Simplifying
x = 0.5

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