.99(6x+30)=4x+2(x-7)

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Solution for .99(6x+30)=4x+2(x-7) equation:


Simplifying
0.99(6x + 30) = 4x + 2(x + -7)

Reorder the terms:
0.99(30 + 6x) = 4x + 2(x + -7)
(30 * 0.99 + 6x * 0.99) = 4x + 2(x + -7)
(29.7 + 5.94x) = 4x + 2(x + -7)

Reorder the terms:
29.7 + 5.94x = 4x + 2(-7 + x)
29.7 + 5.94x = 4x + (-7 * 2 + x * 2)
29.7 + 5.94x = 4x + (-14 + 2x)

Reorder the terms:
29.7 + 5.94x = -14 + 4x + 2x

Combine like terms: 4x + 2x = 6x
29.7 + 5.94x = -14 + 6x

Solving
29.7 + 5.94x = -14 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
29.7 + 5.94x + -6x = -14 + 6x + -6x

Combine like terms: 5.94x + -6x = -0.06x
29.7 + -0.06x = -14 + 6x + -6x

Combine like terms: 6x + -6x = 0
29.7 + -0.06x = -14 + 0
29.7 + -0.06x = -14

Add '-29.7' to each side of the equation.
29.7 + -29.7 + -0.06x = -14 + -29.7

Combine like terms: 29.7 + -29.7 = 0.0
0.0 + -0.06x = -14 + -29.7
-0.06x = -14 + -29.7

Combine like terms: -14 + -29.7 = -43.7
-0.06x = -43.7

Divide each side by '-0.06'.
x = 728.3333333

Simplifying
x = 728.3333333

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