3(x+5)-6=-3+5(x+4)

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Solution for 3(x+5)-6=-3+5(x+4) equation:


Simplifying
3(x + 5) + -6 = -3 + 5(x + 4)

Reorder the terms:
3(5 + x) + -6 = -3 + 5(x + 4)
(5 * 3 + x * 3) + -6 = -3 + 5(x + 4)
(15 + 3x) + -6 = -3 + 5(x + 4)

Reorder the terms:
15 + -6 + 3x = -3 + 5(x + 4)

Combine like terms: 15 + -6 = 9
9 + 3x = -3 + 5(x + 4)

Reorder the terms:
9 + 3x = -3 + 5(4 + x)
9 + 3x = -3 + (4 * 5 + x * 5)
9 + 3x = -3 + (20 + 5x)

Combine like terms: -3 + 20 = 17
9 + 3x = 17 + 5x

Solving
9 + 3x = 17 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
9 + 3x + -5x = 17 + 5x + -5x

Combine like terms: 3x + -5x = -2x
9 + -2x = 17 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + -2x = 17 + 0
9 + -2x = 17

Add '-9' to each side of the equation.
9 + -9 + -2x = 17 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 17 + -9
-2x = 17 + -9

Combine like terms: 17 + -9 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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