(x-7.5)+2*(x-7.5)+(3*(2*(x-7.5))-4)=828.5

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Solution for (x-7.5)+2*(x-7.5)+(3*(2*(x-7.5))-4)=828.5 equation: 


Simplifying
(x + -7.5) + 2(x + -7.5) + (3(2(x + -7.5)) + -4) = 828.5

Reorder the terms:
(-7.5 + x) + 2(x + -7.5) + (3(2(x + -7.5)) + -4) = 828.5

Remove parenthesis around (-7.5 + x)
-7.5 + x + 2(x + -7.5) + (3(2(x + -7.5)) + -4) = 828.5

Reorder the terms:
-7.5 + x + 2(-7.5 + x) + (3(2(x + -7.5)) + -4) = 828.5
-7.5 + x + (-7.5 * 2 + x * 2) + (3(2(x + -7.5)) + -4) = 828.5
-7.5 + x + (-15 + 2x) + (3(2(x + -7.5)) + -4) = 828.5

Reorder the terms:
-7.5 + x + -15 + 2x + (3(2(-7.5 + x)) + -4) = 828.5
-7.5 + x + -15 + 2x + (3((-7.5 * 2 + x * 2)) + -4) = 828.5
-7.5 + x + -15 + 2x + (3((-15 + 2x)) + -4) = 828.5
-7.5 + x + -15 + 2x + ((-15 * 3 + 2x * 3) + -4) = 828.5
-7.5 + x + -15 + 2x + ((-45 + 6x) + -4) = 828.5

Reorder the terms:
-7.5 + x + -15 + 2x + (-45 + -4 + 6x) = 828.5

Combine like terms: -45 + -4 = -49
-7.5 + x + -15 + 2x + (-49 + 6x) = 828.5

Remove parenthesis around (-49 + 6x)
-7.5 + x + -15 + 2x + -49 + 6x = 828.5

Reorder the terms:
-7.5 + -15 + -49 + x + 2x + 6x = 828.5

Combine like terms: -7.5 + -15 = -22.5
-22.5 + -49 + x + 2x + 6x = 828.5

Combine like terms: -22.5 + -49 = -71.5
-71.5 + x + 2x + 6x = 828.5

Combine like terms: x + 2x = 3x
-71.5 + 3x + 6x = 828.5

Combine like terms: 3x + 6x = 9x
-71.5 + 9x = 828.5

Solving
-71.5 + 9x = 828.5

Solving for variable 'x'.

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

Add '71.5' to each side of the equation.
-71.5 + 71.5 + 9x = 828.5 + 71.5

Combine like terms: -71.5 + 71.5 = 0.0
0.0 + 9x = 828.5 + 71.5
9x = 828.5 + 71.5

Combine like terms: 828.5 + 71.5 = 900
9x = 900

Divide each side by '9'.
x = 100

Simplifying
x = 100

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