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

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


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

Reorder the terms:
5(-3 + 6x) + 4(9 + -5x) = 3(3x + 2) + -3
(-3 * 5 + 6x * 5) + 4(9 + -5x) = 3(3x + 2) + -3
(-15 + 30x) + 4(9 + -5x) = 3(3x + 2) + -3
-15 + 30x + (9 * 4 + -5x * 4) = 3(3x + 2) + -3
-15 + 30x + (36 + -20x) = 3(3x + 2) + -3

Reorder the terms:
-15 + 36 + 30x + -20x = 3(3x + 2) + -3

Combine like terms: -15 + 36 = 21
21 + 30x + -20x = 3(3x + 2) + -3

Combine like terms: 30x + -20x = 10x
21 + 10x = 3(3x + 2) + -3

Reorder the terms:
21 + 10x = 3(2 + 3x) + -3
21 + 10x = (2 * 3 + 3x * 3) + -3
21 + 10x = (6 + 9x) + -3

Reorder the terms:
21 + 10x = 6 + -3 + 9x

Combine like terms: 6 + -3 = 3
21 + 10x = 3 + 9x

Solving
21 + 10x = 3 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
21 + 10x + -9x = 3 + 9x + -9x

Combine like terms: 10x + -9x = 1x
21 + 1x = 3 + 9x + -9x

Combine like terms: 9x + -9x = 0
21 + 1x = 3 + 0
21 + 1x = 3

Add '-21' to each side of the equation.
21 + -21 + 1x = 3 + -21

Combine like terms: 21 + -21 = 0
0 + 1x = 3 + -21
1x = 3 + -21

Combine like terms: 3 + -21 = -18
1x = -18

Divide each side by '1'.
x = -18

Simplifying
x = -18

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