0.5(10-9x)=7-3(3x+5)

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Solution for 0.5(10-9x)=7-3(3x+5) equation:


Simplifying
0.5(10 + -9x) = 7 + -3(3x + 5)
(10 * 0.5 + -9x * 0.5) = 7 + -3(3x + 5)
(5 + -4.5x) = 7 + -3(3x + 5)

Reorder the terms:
5 + -4.5x = 7 + -3(5 + 3x)
5 + -4.5x = 7 + (5 * -3 + 3x * -3)
5 + -4.5x = 7 + (-15 + -9x)

Combine like terms: 7 + -15 = -8
5 + -4.5x = -8 + -9x

Solving
5 + -4.5x = -8 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
5 + -4.5x + 9x = -8 + -9x + 9x

Combine like terms: -4.5x + 9x = 4.5x
5 + 4.5x = -8 + -9x + 9x

Combine like terms: -9x + 9x = 0
5 + 4.5x = -8 + 0
5 + 4.5x = -8

Add '-5' to each side of the equation.
5 + -5 + 4.5x = -8 + -5

Combine like terms: 5 + -5 = 0
0 + 4.5x = -8 + -5
4.5x = -8 + -5

Combine like terms: -8 + -5 = -13
4.5x = -13

Divide each side by '4.5'.
x = -2.888888889

Simplifying
x = -2.888888889

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