3(x+4)-5(x+2)-5=3(x+6)-8

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Solution for 3(x+4)-5(x+2)-5=3(x+6)-8 equation:


Simplifying
3(x + 4) + -5(x + 2) + -5 = 3(x + 6) + -8

Reorder the terms:
3(4 + x) + -5(x + 2) + -5 = 3(x + 6) + -8
(4 * 3 + x * 3) + -5(x + 2) + -5 = 3(x + 6) + -8
(12 + 3x) + -5(x + 2) + -5 = 3(x + 6) + -8

Reorder the terms:
12 + 3x + -5(2 + x) + -5 = 3(x + 6) + -8
12 + 3x + (2 * -5 + x * -5) + -5 = 3(x + 6) + -8
12 + 3x + (-10 + -5x) + -5 = 3(x + 6) + -8

Reorder the terms:
12 + -10 + -5 + 3x + -5x = 3(x + 6) + -8

Combine like terms: 12 + -10 = 2
2 + -5 + 3x + -5x = 3(x + 6) + -8

Combine like terms: 2 + -5 = -3
-3 + 3x + -5x = 3(x + 6) + -8

Combine like terms: 3x + -5x = -2x
-3 + -2x = 3(x + 6) + -8

Reorder the terms:
-3 + -2x = 3(6 + x) + -8
-3 + -2x = (6 * 3 + x * 3) + -8
-3 + -2x = (18 + 3x) + -8

Reorder the terms:
-3 + -2x = 18 + -8 + 3x

Combine like terms: 18 + -8 = 10
-3 + -2x = 10 + 3x

Solving
-3 + -2x = 10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-3 + -2x + -3x = 10 + 3x + -3x

Combine like terms: -2x + -3x = -5x
-3 + -5x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-3 + -5x = 10 + 0
-3 + -5x = 10

Add '3' to each side of the equation.
-3 + 3 + -5x = 10 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = 10 + 3
-5x = 10 + 3

Combine like terms: 10 + 3 = 13
-5x = 13

Divide each side by '-5'.
x = -2.6

Simplifying
x = -2.6

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