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

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


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

Combine like terms: 3x + -1x = 2x
24 + -4x + -2(2x) + -5 = 9(5 + -2x)

Remove parenthesis around (2x)
24 + -4x + -2 * 2x + -5 = 9(5 + -2x)

Multiply -2 * 2
24 + -4x + -4x + -5 = 9(5 + -2x)

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

Combine like terms: 24 + -5 = 19
19 + -4x + -4x = 9(5 + -2x)

Combine like terms: -4x + -4x = -8x
19 + -8x = 9(5 + -2x)
19 + -8x = (5 * 9 + -2x * 9)
19 + -8x = (45 + -18x)

Solving
19 + -8x = 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.
19 + -8x + 18x = 45 + -18x + 18x

Combine like terms: -8x + 18x = 10x
19 + 10x = 45 + -18x + 18x

Combine like terms: -18x + 18x = 0
19 + 10x = 45 + 0
19 + 10x = 45

Add '-19' to each side of the equation.
19 + -19 + 10x = 45 + -19

Combine like terms: 19 + -19 = 0
0 + 10x = 45 + -19
10x = 45 + -19

Combine like terms: 45 + -19 = 26
10x = 26

Divide each side by '10'.
x = 2.6

Simplifying
x = 2.6

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