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

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


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

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

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

Solving
18 + 24x = -15 + 35x

Solving for variable 'x'.

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

Add '-35x' to each side of the equation.
18 + 24x + -35x = -15 + 35x + -35x

Combine like terms: 24x + -35x = -11x
18 + -11x = -15 + 35x + -35x

Combine like terms: 35x + -35x = 0
18 + -11x = -15 + 0
18 + -11x = -15

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

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

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

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

Simplifying
x = 3

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