8+3(x-5)=3[8-2(x+3)]

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Solution for 8+3(x-5)=3[8-2(x+3)] equation:


Simplifying
8 + 3(x + -5) = 3[8 + -2(x + 3)]

Reorder the terms:
8 + 3(-5 + x) = 3[8 + -2(x + 3)]
8 + (-5 * 3 + x * 3) = 3[8 + -2(x + 3)]
8 + (-15 + 3x) = 3[8 + -2(x + 3)]

Combine like terms: 8 + -15 = -7
-7 + 3x = 3[8 + -2(x + 3)]

Reorder the terms:
-7 + 3x = 3[8 + -2(3 + x)]
-7 + 3x = 3[8 + (3 * -2 + x * -2)]
-7 + 3x = 3[8 + (-6 + -2x)]

Combine like terms: 8 + -6 = 2
-7 + 3x = 3[2 + -2x]
-7 + 3x = [2 * 3 + -2x * 3]
-7 + 3x = [6 + -6x]

Solving
-7 + 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.
-7 + 3x + 6x = 6 + -6x + 6x

Combine like terms: 3x + 6x = 9x
-7 + 9x = 6 + -6x + 6x

Combine like terms: -6x + 6x = 0
-7 + 9x = 6 + 0
-7 + 9x = 6

Add '7' to each side of the equation.
-7 + 7 + 9x = 6 + 7

Combine like terms: -7 + 7 = 0
0 + 9x = 6 + 7
9x = 6 + 7

Combine like terms: 6 + 7 = 13
9x = 13

Divide each side by '9'.
x = 1.444444444

Simplifying
x = 1.444444444

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