(x-8)+x+(x+x-8)*0.75=70

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Solution for (x-8)+x+(x+x-8)*0.75=70 equation:


Simplifying
(x + -8) + x + (x + x + -8) * 0.75 = 70

Reorder the terms:
(-8 + x) + x + (x + x + -8) * 0.75 = 70

Remove parenthesis around (-8 + x)
-8 + x + x + (x + x + -8) * 0.75 = 70

Reorder the terms:
-8 + x + x + (-8 + x + x) * 0.75 = 70

Combine like terms: x + x = 2x
-8 + x + x + (-8 + 2x) * 0.75 = 70

Reorder the terms for easier multiplication:
-8 + x + x + 0.75(-8 + 2x) = 70
-8 + x + x + (-8 * 0.75 + 2x * 0.75) = 70
-8 + x + x + (-6 + 1.5x) = 70

Reorder the terms:
-8 + -6 + x + x + 1.5x = 70

Combine like terms: -8 + -6 = -14
-14 + x + x + 1.5x = 70

Combine like terms: x + x = 2x
-14 + 2x + 1.5x = 70

Combine like terms: 2x + 1.5x = 3.5x
-14 + 3.5x = 70

Solving
-14 + 3.5x = 70

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 3.5x = 70 + 14

Combine like terms: -14 + 14 = 0
0 + 3.5x = 70 + 14
3.5x = 70 + 14

Combine like terms: 70 + 14 = 84
3.5x = 84

Divide each side by '3.5'.
x = 24

Simplifying
x = 24

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