3(3x+4)-3(5x-3)=18

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Solution for 3(3x+4)-3(5x-3)=18 equation:


Simplifying
3(3x + 4) + -3(5x + -3) = 18

Reorder the terms:
3(4 + 3x) + -3(5x + -3) = 18
(4 * 3 + 3x * 3) + -3(5x + -3) = 18
(12 + 9x) + -3(5x + -3) = 18

Reorder the terms:
12 + 9x + -3(-3 + 5x) = 18
12 + 9x + (-3 * -3 + 5x * -3) = 18
12 + 9x + (9 + -15x) = 18

Reorder the terms:
12 + 9 + 9x + -15x = 18

Combine like terms: 12 + 9 = 21
21 + 9x + -15x = 18

Combine like terms: 9x + -15x = -6x
21 + -6x = 18

Solving
21 + -6x = 18

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + -6x = 18 + -21

Combine like terms: 21 + -21 = 0
0 + -6x = 18 + -21
-6x = 18 + -21

Combine like terms: 18 + -21 = -3
-6x = -3

Divide each side by '-6'.
x = 0.5

Simplifying
x = 0.5

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