.2x+.7(-1x+9)=.5(9)

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Solution for .2x+.7(-1x+9)=.5(9) equation:


Simplifying
0.2x + 0.7(-1x + 9) = 0.5(9)

Reorder the terms:
0.2x + 0.7(9 + -1x) = 0.5(9)
0.2x + (9 * 0.7 + -1x * 0.7) = 0.5(9)
0.2x + (6.3 + -0.7x) = 0.5(9)

Reorder the terms:
6.3 + 0.2x + -0.7x = 0.5(9)

Combine like terms: 0.2x + -0.7x = -0.5x
6.3 + -0.5x = 0.5(9)

Multiply 0.5 * 9
6.3 + -0.5x = 4.5

Solving
6.3 + -0.5x = 4.5

Solving for variable 'x'.

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

Add '-6.3' to each side of the equation.
6.3 + -6.3 + -0.5x = 4.5 + -6.3

Combine like terms: 6.3 + -6.3 = 0.0
0.0 + -0.5x = 4.5 + -6.3
-0.5x = 4.5 + -6.3

Combine like terms: 4.5 + -6.3 = -1.8
-0.5x = -1.8

Divide each side by '-0.5'.
x = 3.6

Simplifying
x = 3.6

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