5(2x-4)+5x-6(3x-2)+9=-5x+11+6

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Solution for 5(2x-4)+5x-6(3x-2)+9=-5x+11+6 equation:


Simplifying
5(2x + -4) + 5x + -6(3x + -2) + 9 = -5x + 11 + 6

Reorder the terms:
5(-4 + 2x) + 5x + -6(3x + -2) + 9 = -5x + 11 + 6
(-4 * 5 + 2x * 5) + 5x + -6(3x + -2) + 9 = -5x + 11 + 6
(-20 + 10x) + 5x + -6(3x + -2) + 9 = -5x + 11 + 6

Reorder the terms:
-20 + 10x + 5x + -6(-2 + 3x) + 9 = -5x + 11 + 6
-20 + 10x + 5x + (-2 * -6 + 3x * -6) + 9 = -5x + 11 + 6
-20 + 10x + 5x + (12 + -18x) + 9 = -5x + 11 + 6

Reorder the terms:
-20 + 12 + 9 + 10x + 5x + -18x = -5x + 11 + 6

Combine like terms: -20 + 12 = -8
-8 + 9 + 10x + 5x + -18x = -5x + 11 + 6

Combine like terms: -8 + 9 = 1
1 + 10x + 5x + -18x = -5x + 11 + 6

Combine like terms: 10x + 5x = 15x
1 + 15x + -18x = -5x + 11 + 6

Combine like terms: 15x + -18x = -3x
1 + -3x = -5x + 11 + 6

Reorder the terms:
1 + -3x = 11 + 6 + -5x

Combine like terms: 11 + 6 = 17
1 + -3x = 17 + -5x

Solving
1 + -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.
1 + -3x + 5x = 17 + -5x + 5x

Combine like terms: -3x + 5x = 2x
1 + 2x = 17 + -5x + 5x

Combine like terms: -5x + 5x = 0
1 + 2x = 17 + 0
1 + 2x = 17

Add '-1' to each side of the equation.
1 + -1 + 2x = 17 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 17 + -1
2x = 17 + -1

Combine like terms: 17 + -1 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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