.75(20x+6)=.5(8x+8)

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Solution for .75(20x+6)=.5(8x+8) equation:


Simplifying
0.75(20x + 6) = 0.5(8x + 8)

Reorder the terms:
0.75(6 + 20x) = 0.5(8x + 8)
(6 * 0.75 + 20x * 0.75) = 0.5(8x + 8)
(4.5 + 15x) = 0.5(8x + 8)

Reorder the terms:
4.5 + 15x = 0.5(8 + 8x)
4.5 + 15x = (8 * 0.5 + 8x * 0.5)
4.5 + 15x = (4 + 4x)

Solving
4.5 + 15x = 4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
4.5 + 15x + -4x = 4 + 4x + -4x

Combine like terms: 15x + -4x = 11x
4.5 + 11x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
4.5 + 11x = 4 + 0
4.5 + 11x = 4

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 11x = 4 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 11x = 4 + -4.5
11x = 4 + -4.5

Combine like terms: 4 + -4.5 = -0.5
11x = -0.5

Divide each side by '11'.
x = -0.04545454545

Simplifying
x = -0.04545454545

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