18(2x+5)=18(3x-4)

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Solution for 18(2x+5)=18(3x-4) equation:


Simplifying
18(2x + 5) = 18(3x + -4)

Reorder the terms:
18(5 + 2x) = 18(3x + -4)
(5 * 18 + 2x * 18) = 18(3x + -4)
(90 + 36x) = 18(3x + -4)

Reorder the terms:
90 + 36x = 18(-4 + 3x)
90 + 36x = (-4 * 18 + 3x * 18)
90 + 36x = (-72 + 54x)

Solving
90 + 36x = -72 + 54x

Solving for variable 'x'.

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

Add '-54x' to each side of the equation.
90 + 36x + -54x = -72 + 54x + -54x

Combine like terms: 36x + -54x = -18x
90 + -18x = -72 + 54x + -54x

Combine like terms: 54x + -54x = 0
90 + -18x = -72 + 0
90 + -18x = -72

Add '-90' to each side of the equation.
90 + -90 + -18x = -72 + -90

Combine like terms: 90 + -90 = 0
0 + -18x = -72 + -90
-18x = -72 + -90

Combine like terms: -72 + -90 = -162
-18x = -162

Divide each side by '-18'.
x = 9

Simplifying
x = 9

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