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

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


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

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

Reorder the terms:
15 + 20x = 9(-2 + x)
15 + 20x = (-2 * 9 + x * 9)
15 + 20x = (-18 + 9x)

Solving
15 + 20x = -18 + 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.
15 + 20x + -9x = -18 + 9x + -9x

Combine like terms: 20x + -9x = 11x
15 + 11x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
15 + 11x = -18 + 0
15 + 11x = -18

Add '-15' to each side of the equation.
15 + -15 + 11x = -18 + -15

Combine like terms: 15 + -15 = 0
0 + 11x = -18 + -15
11x = -18 + -15

Combine like terms: -18 + -15 = -33
11x = -33

Divide each side by '11'.
x = -3

Simplifying
x = -3

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