4(3x+5)=9(7-2x)

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Solution for 4(3x+5)=9(7-2x) equation:


Simplifying
4(3x + 5) = 9(7 + -2x)

Reorder the terms:
4(5 + 3x) = 9(7 + -2x)
(5 * 4 + 3x * 4) = 9(7 + -2x)
(20 + 12x) = 9(7 + -2x)
20 + 12x = (7 * 9 + -2x * 9)
20 + 12x = (63 + -18x)

Solving
20 + 12x = 63 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
20 + 12x + 18x = 63 + -18x + 18x

Combine like terms: 12x + 18x = 30x
20 + 30x = 63 + -18x + 18x

Combine like terms: -18x + 18x = 0
20 + 30x = 63 + 0
20 + 30x = 63

Add '-20' to each side of the equation.
20 + -20 + 30x = 63 + -20

Combine like terms: 20 + -20 = 0
0 + 30x = 63 + -20
30x = 63 + -20

Combine like terms: 63 + -20 = 43
30x = 43

Divide each side by '30'.
x = 1.433333333

Simplifying
x = 1.433333333

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