6(4x+3)-5(7x-3)=0

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Solution for 6(4x+3)-5(7x-3)=0 equation:


Simplifying
6(4x + 3) + -5(7x + -3) = 0

Reorder the terms:
6(3 + 4x) + -5(7x + -3) = 0
(3 * 6 + 4x * 6) + -5(7x + -3) = 0
(18 + 24x) + -5(7x + -3) = 0

Reorder the terms:
18 + 24x + -5(-3 + 7x) = 0
18 + 24x + (-3 * -5 + 7x * -5) = 0
18 + 24x + (15 + -35x) = 0

Reorder the terms:
18 + 15 + 24x + -35x = 0

Combine like terms: 18 + 15 = 33
33 + 24x + -35x = 0

Combine like terms: 24x + -35x = -11x
33 + -11x = 0

Solving
33 + -11x = 0

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + -33 + -11x = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -11x = 0 + -33
-11x = 0 + -33

Combine like terms: 0 + -33 = -33
-11x = -33

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

Simplifying
x = 3

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