.5(9x+7)=.6(x-3)

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Solution for .5(9x+7)=.6(x-3) equation:


Simplifying
0.5(9x + 7) = 0.6(x + -3)

Reorder the terms:
0.5(7 + 9x) = 0.6(x + -3)
(7 * 0.5 + 9x * 0.5) = 0.6(x + -3)
(3.5 + 4.5x) = 0.6(x + -3)

Reorder the terms:
3.5 + 4.5x = 0.6(-3 + x)
3.5 + 4.5x = (-3 * 0.6 + x * 0.6)
3.5 + 4.5x = (-1.8 + 0.6x)

Solving
3.5 + 4.5x = -1.8 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
3.5 + 4.5x + -0.6x = -1.8 + 0.6x + -0.6x

Combine like terms: 4.5x + -0.6x = 3.9x
3.5 + 3.9x = -1.8 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
3.5 + 3.9x = -1.8 + 0.0
3.5 + 3.9x = -1.8

Add '-3.5' to each side of the equation.
3.5 + -3.5 + 3.9x = -1.8 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 3.9x = -1.8 + -3.5
3.9x = -1.8 + -3.5

Combine like terms: -1.8 + -3.5 = -5.3
3.9x = -5.3

Divide each side by '3.9'.
x = -1.358974359

Simplifying
x = -1.358974359

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