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

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


Simplifying
6(3 + 7x) = 5x + -4
(3 * 6 + 7x * 6) = 5x + -4
(18 + 42x) = 5x + -4

Reorder the terms:
18 + 42x = -4 + 5x

Solving
18 + 42x = -4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
18 + 42x + -5x = -4 + 5x + -5x

Combine like terms: 42x + -5x = 37x
18 + 37x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + 37x = -4 + 0
18 + 37x = -4

Add '-18' to each side of the equation.
18 + -18 + 37x = -4 + -18

Combine like terms: 18 + -18 = 0
0 + 37x = -4 + -18
37x = -4 + -18

Combine like terms: -4 + -18 = -22
37x = -22

Divide each side by '37'.
x = -0.5945945946

Simplifying
x = -0.5945945946

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