.75(8x+24)-1=3x-1

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Solution for .75(8x+24)-1=3x-1 equation:


Simplifying
0.75(8x + 24) + -1 = 3x + -1

Reorder the terms:
0.75(24 + 8x) + -1 = 3x + -1
(24 * 0.75 + 8x * 0.75) + -1 = 3x + -1
(18 + 6x) + -1 = 3x + -1

Reorder the terms:
18 + -1 + 6x = 3x + -1

Combine like terms: 18 + -1 = 17
17 + 6x = 3x + -1

Reorder the terms:
17 + 6x = -1 + 3x

Solving
17 + 6x = -1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
17 + 6x + -3x = -1 + 3x + -3x

Combine like terms: 6x + -3x = 3x
17 + 3x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
17 + 3x = -1 + 0
17 + 3x = -1

Add '-17' to each side of the equation.
17 + -17 + 3x = -1 + -17

Combine like terms: 17 + -17 = 0
0 + 3x = -1 + -17
3x = -1 + -17

Combine like terms: -1 + -17 = -18
3x = -18

Divide each side by '3'.
x = -6

Simplifying
x = -6

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