4-9x=6(5x+3)+18

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Solution for 4-9x=6(5x+3)+18 equation:


Simplifying
4 + -9x = 6(5x + 3) + 18

Reorder the terms:
4 + -9x = 6(3 + 5x) + 18
4 + -9x = (3 * 6 + 5x * 6) + 18
4 + -9x = (18 + 30x) + 18

Reorder the terms:
4 + -9x = 18 + 18 + 30x

Combine like terms: 18 + 18 = 36
4 + -9x = 36 + 30x

Solving
4 + -9x = 36 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
4 + -9x + -30x = 36 + 30x + -30x

Combine like terms: -9x + -30x = -39x
4 + -39x = 36 + 30x + -30x

Combine like terms: 30x + -30x = 0
4 + -39x = 36 + 0
4 + -39x = 36

Add '-4' to each side of the equation.
4 + -4 + -39x = 36 + -4

Combine like terms: 4 + -4 = 0
0 + -39x = 36 + -4
-39x = 36 + -4

Combine like terms: 36 + -4 = 32
-39x = 32

Divide each side by '-39'.
x = -0.8205128205

Simplifying
x = -0.8205128205

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