.66(6x+3)=4x+2

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Solution for .66(6x+3)=4x+2 equation: 


Simplifying
0.66(6x + 3) = 4x + 2

Reorder the terms:
0.66(3 + 6x) = 4x + 2
(3 * 0.66 + 6x * 0.66) = 4x + 2
(1.98 + 3.96x) = 4x + 2

Reorder the terms:
1.98 + 3.96x = 2 + 4x

Solving
1.98 + 3.96x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
1.98 + 3.96x + -4x = 2 + 4x + -4x

Combine like terms: 3.96x + -4x = -0.04x
1.98 + -0.04x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
1.98 + -0.04x = 2 + 0
1.98 + -0.04x = 2

Add '-1.98' to each side of the equation.
1.98 + -1.98 + -0.04x = 2 + -1.98

Combine like terms: 1.98 + -1.98 = 0.00
0.00 + -0.04x = 2 + -1.98
-0.04x = 2 + -1.98

Combine like terms: 2 + -1.98 = 0.02
-0.04x = 0.02

Divide each side by '-0.04'.
x = -0.5

Simplifying
x = -0.5

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