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

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


Simplifying
4(6 + -1x) + -2(3 + x) + -5 = 9(5 + -2x)
(6 * 4 + -1x * 4) + -2(3 + x) + -5 = 9(5 + -2x)
(24 + -4x) + -2(3 + x) + -5 = 9(5 + -2x)
24 + -4x + (3 * -2 + x * -2) + -5 = 9(5 + -2x)
24 + -4x + (-6 + -2x) + -5 = 9(5 + -2x)

Reorder the terms:
24 + -6 + -5 + -4x + -2x = 9(5 + -2x)

Combine like terms: 24 + -6 = 18
18 + -5 + -4x + -2x = 9(5 + -2x)

Combine like terms: 18 + -5 = 13
13 + -4x + -2x = 9(5 + -2x)

Combine like terms: -4x + -2x = -6x
13 + -6x = 9(5 + -2x)
13 + -6x = (5 * 9 + -2x * 9)
13 + -6x = (45 + -18x)

Solving
13 + -6x = 45 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
13 + -6x + 18x = 45 + -18x + 18x

Combine like terms: -6x + 18x = 12x
13 + 12x = 45 + -18x + 18x

Combine like terms: -18x + 18x = 0
13 + 12x = 45 + 0
13 + 12x = 45

Add '-13' to each side of the equation.
13 + -13 + 12x = 45 + -13

Combine like terms: 13 + -13 = 0
0 + 12x = 45 + -13
12x = 45 + -13

Combine like terms: 45 + -13 = 32
12x = 32

Divide each side by '12'.
x = 2.666666667

Simplifying
x = 2.666666667

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