0.66(4x+7)=1.3(x-3)

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Solution for 0.66(4x+7)=1.3(x-3) equation: 


Simplifying
0.66(4x + 7) = 1.3(x + -3)

Reorder the terms:
0.66(7 + 4x) = 1.3(x + -3)
(7 * 0.66 + 4x * 0.66) = 1.3(x + -3)
(4.62 + 2.64x) = 1.3(x + -3)

Reorder the terms:
4.62 + 2.64x = 1.3(-3 + x)
4.62 + 2.64x = (-3 * 1.3 + x * 1.3)
4.62 + 2.64x = (-3.9 + 1.3x)

Solving
4.62 + 2.64x = -3.9 + 1.3x

Solving for variable 'x'.

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

Add '-1.3x' to each side of the equation.
4.62 + 2.64x + -1.3x = -3.9 + 1.3x + -1.3x

Combine like terms: 2.64x + -1.3x = 1.34x
4.62 + 1.34x = -3.9 + 1.3x + -1.3x

Combine like terms: 1.3x + -1.3x = 0.0
4.62 + 1.34x = -3.9 + 0.0
4.62 + 1.34x = -3.9

Add '-4.62' to each side of the equation.
4.62 + -4.62 + 1.34x = -3.9 + -4.62

Combine like terms: 4.62 + -4.62 = 0.00
0.00 + 1.34x = -3.9 + -4.62
1.34x = -3.9 + -4.62

Combine like terms: -3.9 + -4.62 = -8.52
1.34x = -8.52

Divide each side by '1.34'.
x = -6.358208955

Simplifying
x = -6.358208955

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