4.7(4.8x-7)=-6x+5.4

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Solution for 4.7(4.8x-7)=-6x+5.4 equation: 


Simplifying
4.7(4.8x + -7) = -6x + 5.4

Reorder the terms:
4.7(-7 + 4.8x) = -6x + 5.4
(-7 * 4.7 + 4.8x * 4.7) = -6x + 5.4
(-32.9 + 22.56x) = -6x + 5.4

Reorder the terms:
-32.9 + 22.56x = 5.4 + -6x

Solving
-32.9 + 22.56x = 5.4 + -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.
-32.9 + 22.56x + 6x = 5.4 + -6x + 6x

Combine like terms: 22.56x + 6x = 28.56x
-32.9 + 28.56x = 5.4 + -6x + 6x

Combine like terms: -6x + 6x = 0
-32.9 + 28.56x = 5.4 + 0
-32.9 + 28.56x = 5.4

Add '32.9' to each side of the equation.
-32.9 + 32.9 + 28.56x = 5.4 + 32.9

Combine like terms: -32.9 + 32.9 = 0.0
0.0 + 28.56x = 5.4 + 32.9
28.56x = 5.4 + 32.9

Combine like terms: 5.4 + 32.9 = 38.3
28.56x = 38.3

Divide each side by '28.56'.
x = 1.341036415

Simplifying
x = 1.341036415

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