.75(4x-12)-(x+1)=8

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Solution for .75(4x-12)-(x+1)=8 equation:


Simplifying
0.75(4x + -12) + -1(x + 1) = 8

Reorder the terms:
0.75(-12 + 4x) + -1(x + 1) = 8
(-12 * 0.75 + 4x * 0.75) + -1(x + 1) = 8
(-9 + 3x) + -1(x + 1) = 8

Reorder the terms:
-9 + 3x + -1(1 + x) = 8
-9 + 3x + (1 * -1 + x * -1) = 8
-9 + 3x + (-1 + -1x) = 8

Reorder the terms:
-9 + -1 + 3x + -1x = 8

Combine like terms: -9 + -1 = -10
-10 + 3x + -1x = 8

Combine like terms: 3x + -1x = 2x
-10 + 2x = 8

Solving
-10 + 2x = 8

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 2x = 8 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = 8 + 10
2x = 8 + 10

Combine like terms: 8 + 10 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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