0.75(4x-8)+(2x-3)=1

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Solution for 0.75(4x-8)+(2x-3)=1 equation:


Simplifying
0.75(4x + -8) + (2x + -3) = 1

Reorder the terms:
0.75(-8 + 4x) + (2x + -3) = 1
(-8 * 0.75 + 4x * 0.75) + (2x + -3) = 1
(-6 + 3x) + (2x + -3) = 1

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

Remove parenthesis around (-3 + 2x)
-6 + 3x + -3 + 2x = 1

Reorder the terms:
-6 + -3 + 3x + 2x = 1

Combine like terms: -6 + -3 = -9
-9 + 3x + 2x = 1

Combine like terms: 3x + 2x = 5x
-9 + 5x = 1

Solving
-9 + 5x = 1

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 5x = 1 + 9

Combine like terms: -9 + 9 = 0
0 + 5x = 1 + 9
5x = 1 + 9

Combine like terms: 1 + 9 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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