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

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


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

Reorder the terms:
9(-2 + 5x) = 7(3x + 4)
(-2 * 9 + 5x * 9) = 7(3x + 4)
(-18 + 45x) = 7(3x + 4)

Reorder the terms:
-18 + 45x = 7(4 + 3x)
-18 + 45x = (4 * 7 + 3x * 7)
-18 + 45x = (28 + 21x)

Solving
-18 + 45x = 28 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
-18 + 45x + -21x = 28 + 21x + -21x

Combine like terms: 45x + -21x = 24x
-18 + 24x = 28 + 21x + -21x

Combine like terms: 21x + -21x = 0
-18 + 24x = 28 + 0
-18 + 24x = 28

Add '18' to each side of the equation.
-18 + 18 + 24x = 28 + 18

Combine like terms: -18 + 18 = 0
0 + 24x = 28 + 18
24x = 28 + 18

Combine like terms: 28 + 18 = 46
24x = 46

Divide each side by '24'.
x = 1.916666667

Simplifying
x = 1.916666667

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