0.33(6x+12)-2(x-7)=19

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Solution for 0.33(6x+12)-2(x-7)=19 equation: 


Simplifying
0.33(6x + 12) + -2(x + -7) = 19

Reorder the terms:
0.33(12 + 6x) + -2(x + -7) = 19
(12 * 0.33 + 6x * 0.33) + -2(x + -7) = 19
(3.96 + 1.98x) + -2(x + -7) = 19

Reorder the terms:
3.96 + 1.98x + -2(-7 + x) = 19
3.96 + 1.98x + (-7 * -2 + x * -2) = 19
3.96 + 1.98x + (14 + -2x) = 19

Reorder the terms:
3.96 + 14 + 1.98x + -2x = 19

Combine like terms: 3.96 + 14 = 17.96
17.96 + 1.98x + -2x = 19

Combine like terms: 1.98x + -2x = -0.02x
17.96 + -0.02x = 19

Solving
17.96 + -0.02x = 19

Solving for variable 'x'.

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

Add '-17.96' to each side of the equation.
17.96 + -17.96 + -0.02x = 19 + -17.96

Combine like terms: 17.96 + -17.96 = 0.00
0.00 + -0.02x = 19 + -17.96
-0.02x = 19 + -17.96

Combine like terms: 19 + -17.96 = 1.04
-0.02x = 1.04

Divide each side by '-0.02'.
x = -52

Simplifying
x = -52

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