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

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


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

Reorder the terms:
3[5 + x] = -2[3 + -1x] + 3
[5 * 3 + x * 3] = -2[3 + -1x] + 3
[15 + 3x] = -2[3 + -1x] + 3
15 + 3x = [3 * -2 + -1x * -2] + 3
15 + 3x = [-6 + 2x] + 3

Reorder the terms:
15 + 3x = -6 + 3 + 2x

Combine like terms: -6 + 3 = -3
15 + 3x = -3 + 2x

Solving
15 + 3x = -3 + 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.
15 + 3x + -2x = -3 + 2x + -2x

Combine like terms: 3x + -2x = 1x
15 + 1x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + 1x = -3 + 0
15 + 1x = -3

Add '-15' to each side of the equation.
15 + -15 + 1x = -3 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = -3 + -15
1x = -3 + -15

Combine like terms: -3 + -15 = -18
1x = -18

Divide each side by '1'.
x = -18

Simplifying
x = -18

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