.75(8x+20)-2(x-1)=3

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Solution for .75(8x+20)-2(x-1)=3 equation:


Simplifying
0.75(8x + 20) + -2(x + -1) = 3

Reorder the terms:
0.75(20 + 8x) + -2(x + -1) = 3
(20 * 0.75 + 8x * 0.75) + -2(x + -1) = 3
(15 + 6x) + -2(x + -1) = 3

Reorder the terms:
15 + 6x + -2(-1 + x) = 3
15 + 6x + (-1 * -2 + x * -2) = 3
15 + 6x + (2 + -2x) = 3

Reorder the terms:
15 + 2 + 6x + -2x = 3

Combine like terms: 15 + 2 = 17
17 + 6x + -2x = 3

Combine like terms: 6x + -2x = 4x
17 + 4x = 3

Solving
17 + 4x = 3

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + 4x = 3 + -17

Combine like terms: 17 + -17 = 0
0 + 4x = 3 + -17
4x = 3 + -17

Combine like terms: 3 + -17 = -14
4x = -14

Divide each side by '4'.
x = -3.5

Simplifying
x = -3.5

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