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

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


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

Reorder the terms:
4(-5 + 3x) = 6(7x + 4)
(-5 * 4 + 3x * 4) = 6(7x + 4)
(-20 + 12x) = 6(7x + 4)

Reorder the terms:
-20 + 12x = 6(4 + 7x)
-20 + 12x = (4 * 6 + 7x * 6)
-20 + 12x = (24 + 42x)

Solving
-20 + 12x = 24 + 42x

Solving for variable 'x'.

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

Add '-42x' to each side of the equation.
-20 + 12x + -42x = 24 + 42x + -42x

Combine like terms: 12x + -42x = -30x
-20 + -30x = 24 + 42x + -42x

Combine like terms: 42x + -42x = 0
-20 + -30x = 24 + 0
-20 + -30x = 24

Add '20' to each side of the equation.
-20 + 20 + -30x = 24 + 20

Combine like terms: -20 + 20 = 0
0 + -30x = 24 + 20
-30x = 24 + 20

Combine like terms: 24 + 20 = 44
-30x = 44

Divide each side by '-30'.
x = -1.466666667

Simplifying
x = -1.466666667

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