2.3x-4.7+.6(3x+5)=.7(3-x)

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Solution for 2.3x-4.7+.6(3x+5)=.7(3-x) equation:


Simplifying
2.3x + -4.7 + 0.6(3x + 5) = 0.7(3 + -1x)

Reorder the terms:
2.3x + -4.7 + 0.6(5 + 3x) = 0.7(3 + -1x)
2.3x + -4.7 + (5 * 0.6 + 3x * 0.6) = 0.7(3 + -1x)
2.3x + -4.7 + (3 + 1.8x) = 0.7(3 + -1x)

Reorder the terms:
-4.7 + 3 + 2.3x + 1.8x = 0.7(3 + -1x)

Combine like terms: -4.7 + 3 = -1.7
-1.7 + 2.3x + 1.8x = 0.7(3 + -1x)

Combine like terms: 2.3x + 1.8x = 4.1x
-1.7 + 4.1x = 0.7(3 + -1x)
-1.7 + 4.1x = (3 * 0.7 + -1x * 0.7)
-1.7 + 4.1x = (2.1 + -0.7x)

Solving
-1.7 + 4.1x = 2.1 + -0.7x

Solving for variable 'x'.

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

Add '0.7x' to each side of the equation.
-1.7 + 4.1x + 0.7x = 2.1 + -0.7x + 0.7x

Combine like terms: 4.1x + 0.7x = 4.8x
-1.7 + 4.8x = 2.1 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
-1.7 + 4.8x = 2.1 + 0.0
-1.7 + 4.8x = 2.1

Add '1.7' to each side of the equation.
-1.7 + 1.7 + 4.8x = 2.1 + 1.7

Combine like terms: -1.7 + 1.7 = 0.0
0.0 + 4.8x = 2.1 + 1.7
4.8x = 2.1 + 1.7

Combine like terms: 2.1 + 1.7 = 3.8
4.8x = 3.8

Divide each side by '4.8'.
x = 0.7916666667

Simplifying
x = 0.7916666667

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