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

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


Simplifying
9(6 + -2x) = 5(3 + -6x) + 4x
(6 * 9 + -2x * 9) = 5(3 + -6x) + 4x
(54 + -18x) = 5(3 + -6x) + 4x
54 + -18x = (3 * 5 + -6x * 5) + 4x
54 + -18x = (15 + -30x) + 4x

Combine like terms: -30x + 4x = -26x
54 + -18x = 15 + -26x

Solving
54 + -18x = 15 + -26x

Solving for variable 'x'.

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

Add '26x' to each side of the equation.
54 + -18x + 26x = 15 + -26x + 26x

Combine like terms: -18x + 26x = 8x
54 + 8x = 15 + -26x + 26x

Combine like terms: -26x + 26x = 0
54 + 8x = 15 + 0
54 + 8x = 15

Add '-54' to each side of the equation.
54 + -54 + 8x = 15 + -54

Combine like terms: 54 + -54 = 0
0 + 8x = 15 + -54
8x = 15 + -54

Combine like terms: 15 + -54 = -39
8x = -39

Divide each side by '8'.
x = -4.875

Simplifying
x = -4.875

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