3.2x+.5(7.3-x)=4.7-6.4(x-2.1)

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Solution for 3.2x+.5(7.3-x)=4.7-6.4(x-2.1) equation:


Simplifying
3.2x + 0.5(7.3 + -1x) = 4.7 + -6.4(x + -2.1)
3.2x + (7.3 * 0.5 + -1x * 0.5) = 4.7 + -6.4(x + -2.1)
3.2x + (3.65 + -0.5x) = 4.7 + -6.4(x + -2.1)

Reorder the terms:
3.65 + 3.2x + -0.5x = 4.7 + -6.4(x + -2.1)

Combine like terms: 3.2x + -0.5x = 2.7x
3.65 + 2.7x = 4.7 + -6.4(x + -2.1)

Reorder the terms:
3.65 + 2.7x = 4.7 + -6.4(-2.1 + x)
3.65 + 2.7x = 4.7 + (-2.1 * -6.4 + x * -6.4)
3.65 + 2.7x = 4.7 + (13.44 + -6.4x)

Combine like terms: 4.7 + 13.44 = 18.14
3.65 + 2.7x = 18.14 + -6.4x

Solving
3.65 + 2.7x = 18.14 + -6.4x

Solving for variable 'x'.

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

Add '6.4x' to each side of the equation.
3.65 + 2.7x + 6.4x = 18.14 + -6.4x + 6.4x

Combine like terms: 2.7x + 6.4x = 9.1x
3.65 + 9.1x = 18.14 + -6.4x + 6.4x

Combine like terms: -6.4x + 6.4x = 0.0
3.65 + 9.1x = 18.14 + 0.0
3.65 + 9.1x = 18.14

Add '-3.65' to each side of the equation.
3.65 + -3.65 + 9.1x = 18.14 + -3.65

Combine like terms: 3.65 + -3.65 = 0.00
0.00 + 9.1x = 18.14 + -3.65
9.1x = 18.14 + -3.65

Combine like terms: 18.14 + -3.65 = 14.49
9.1x = 14.49

Divide each side by '9.1'.
x = 1.592307692

Simplifying
x = 1.592307692

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