6(7x+4)=30x-5

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Solution for 6(7x+4)=30x-5 equation:


Simplifying
6(7x + 4) = 30x + -5

Reorder the terms:
6(4 + 7x) = 30x + -5
(4 * 6 + 7x * 6) = 30x + -5
(24 + 42x) = 30x + -5

Reorder the terms:
24 + 42x = -5 + 30x

Solving
24 + 42x = -5 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
24 + 42x + -30x = -5 + 30x + -30x

Combine like terms: 42x + -30x = 12x
24 + 12x = -5 + 30x + -30x

Combine like terms: 30x + -30x = 0
24 + 12x = -5 + 0
24 + 12x = -5

Add '-24' to each side of the equation.
24 + -24 + 12x = -5 + -24

Combine like terms: 24 + -24 = 0
0 + 12x = -5 + -24
12x = -5 + -24

Combine like terms: -5 + -24 = -29
12x = -29

Divide each side by '12'.
x = -2.416666667

Simplifying
x = -2.416666667

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