0.9(3-4x)=2-(x+4.7)

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Solution for 0.9(3-4x)=2-(x+4.7) equation: 


Simplifying
0.9(3 + -4x) = 2 + -1(x + 4.7)
(3 * 0.9 + -4x * 0.9) = 2 + -1(x + 4.7)
(2.7 + -3.6x) = 2 + -1(x + 4.7)

Reorder the terms:
2.7 + -3.6x = 2 + -1(4.7 + x)
2.7 + -3.6x = 2 + (4.7 * -1 + x * -1)
2.7 + -3.6x = 2 + (-4.7 + -1x)

Combine like terms: 2 + -4.7 = -2.7
2.7 + -3.6x = -2.7 + -1x

Solving
2.7 + -3.6x = -2.7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2.7 + -3.6x + x = -2.7 + -1x + x

Combine like terms: -3.6x + x = -2.6x
2.7 + -2.6x = -2.7 + -1x + x

Combine like terms: -1x + x = 0
2.7 + -2.6x = -2.7 + 0
2.7 + -2.6x = -2.7

Add '-2.7' to each side of the equation.
2.7 + -2.7 + -2.6x = -2.7 + -2.7

Combine like terms: 2.7 + -2.7 = 0.0
0.0 + -2.6x = -2.7 + -2.7
-2.6x = -2.7 + -2.7

Combine like terms: -2.7 + -2.7 = -5.4
-2.6x = -5.4

Divide each side by '-2.6'.
x = 2.076923077

Simplifying
x = 2.076923077

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