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

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


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

Reorder the terms:
3(5 + x) = 3[x + -1(2 + -1x)]
(5 * 3 + x * 3) = 3[x + -1(2 + -1x)]
(15 + 3x) = 3[x + -1(2 + -1x)]
15 + 3x = 3[x + (2 * -1 + -1x * -1)]
15 + 3x = 3[x + (-2 + 1x)]

Reorder the terms:
15 + 3x = 3[-2 + x + 1x]

Combine like terms: x + 1x = 2x
15 + 3x = 3[-2 + 2x]
15 + 3x = [-2 * 3 + 2x * 3]
15 + 3x = [-6 + 6x]

Solving
15 + 3x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
15 + 3x + -6x = -6 + 6x + -6x

Combine like terms: 3x + -6x = -3x
15 + -3x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + -3x = -6 + 0
15 + -3x = -6

Add '-15' to each side of the equation.
15 + -15 + -3x = -6 + -15

Combine like terms: 15 + -15 = 0
0 + -3x = -6 + -15
-3x = -6 + -15

Combine like terms: -6 + -15 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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