.33(6x+30)=4x+2(x-7)

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Solution for .33(6x+30)=4x+2(x-7) equation:


Simplifying
0.33(6x + 30) = 4x + 2(x + -7)

Reorder the terms:
0.33(30 + 6x) = 4x + 2(x + -7)
(30 * 0.33 + 6x * 0.33) = 4x + 2(x + -7)
(9.9 + 1.98x) = 4x + 2(x + -7)

Reorder the terms:
9.9 + 1.98x = 4x + 2(-7 + x)
9.9 + 1.98x = 4x + (-7 * 2 + x * 2)
9.9 + 1.98x = 4x + (-14 + 2x)

Reorder the terms:
9.9 + 1.98x = -14 + 4x + 2x

Combine like terms: 4x + 2x = 6x
9.9 + 1.98x = -14 + 6x

Solving
9.9 + 1.98x = -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.
9.9 + 1.98x + -6x = -14 + 6x + -6x

Combine like terms: 1.98x + -6x = -4.02x
9.9 + -4.02x = -14 + 6x + -6x

Combine like terms: 6x + -6x = 0
9.9 + -4.02x = -14 + 0
9.9 + -4.02x = -14

Add '-9.9' to each side of the equation.
9.9 + -9.9 + -4.02x = -14 + -9.9

Combine like terms: 9.9 + -9.9 = 0.0
0.0 + -4.02x = -14 + -9.9
-4.02x = -14 + -9.9

Combine like terms: -14 + -9.9 = -23.9
-4.02x = -23.9

Divide each side by '-4.02'.
x = 5.945273632

Simplifying
x = 5.945273632

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