.5(9-5x)=15-(6x+7)

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Solution for .5(9-5x)=15-(6x+7) equation: 


Simplifying
0.5(9 + -5x) = 15 + -1(6x + 7)
(9 * 0.5 + -5x * 0.5) = 15 + -1(6x + 7)
(4.5 + -2.5x) = 15 + -1(6x + 7)

Reorder the terms:
4.5 + -2.5x = 15 + -1(7 + 6x)
4.5 + -2.5x = 15 + (7 * -1 + 6x * -1)
4.5 + -2.5x = 15 + (-7 + -6x)

Combine like terms: 15 + -7 = 8
4.5 + -2.5x = 8 + -6x

Solving
4.5 + -2.5x = 8 + -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.
4.5 + -2.5x + 6x = 8 + -6x + 6x

Combine like terms: -2.5x + 6x = 3.5x
4.5 + 3.5x = 8 + -6x + 6x

Combine like terms: -6x + 6x = 0
4.5 + 3.5x = 8 + 0
4.5 + 3.5x = 8

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 3.5x = 8 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 3.5x = 8 + -4.5
3.5x = 8 + -4.5

Combine like terms: 8 + -4.5 = 3.5
3.5x = 3.5

Divide each side by '3.5'.
x = 1

Simplifying
x = 1

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