8-3(x+5)=5+3(2x+4)

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Solution for 8-3(x+5)=5+3(2x+4) equation:


Simplifying
8 + -3(x + 5) = 5 + 3(2x + 4)

Reorder the terms:
8 + -3(5 + x) = 5 + 3(2x + 4)
8 + (5 * -3 + x * -3) = 5 + 3(2x + 4)
8 + (-15 + -3x) = 5 + 3(2x + 4)

Combine like terms: 8 + -15 = -7
-7 + -3x = 5 + 3(2x + 4)

Reorder the terms:
-7 + -3x = 5 + 3(4 + 2x)
-7 + -3x = 5 + (4 * 3 + 2x * 3)
-7 + -3x = 5 + (12 + 6x)

Combine like terms: 5 + 12 = 17
-7 + -3x = 17 + 6x

Solving
-7 + -3x = 17 + 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 = 17 + 6x + -6x

Combine like terms: -3x + -6x = -9x
-7 + -9x = 17 + 6x + -6x

Combine like terms: 6x + -6x = 0
-7 + -9x = 17 + 0
-7 + -9x = 17

Add '7' to each side of the equation.
-7 + 7 + -9x = 17 + 7

Combine like terms: -7 + 7 = 0
0 + -9x = 17 + 7
-9x = 17 + 7

Combine like terms: 17 + 7 = 24
-9x = 24

Divide each side by '-9'.
x = -2.666666667

Simplifying
x = -2.666666667

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