x-7.5+2(x-7.5)+3[2(x-7.5)]-4=828.50

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Solution for x-7.5+2(x-7.5)+3[2(x-7.5)]-4=828.50 equation: 


Simplifying
x + -7.5 + 2(x + -7.5) + 3[2(x + -7.5)] + -4 = 828.50

Reorder the terms:
x + -7.5 + 2(-7.5 + x) + 3[2(x + -7.5)] + -4 = 828.50
x + -7.5 + (-7.5 * 2 + x * 2) + 3[2(x + -7.5)] + -4 = 828.50
x + -7.5 + (-15 + 2x) + 3[2(x + -7.5)] + -4 = 828.50

Reorder the terms:
x + -7.5 + -15 + 2x + 3[2(-7.5 + x)] + -4 = 828.50
x + -7.5 + -15 + 2x + 3[(-7.5 * 2 + x * 2)] + -4 = 828.50
x + -7.5 + -15 + 2x + 3[(-15 + 2x)] + -4 = 828.50
x + -7.5 + -15 + 2x + [-15 * 3 + 2x * 3] + -4 = 828.50
x + -7.5 + -15 + 2x + [-45 + 6x] + -4 = 828.50

Reorder the terms:
-7.5 + -15 + -45 + -4 + x + 2x + 6x = 828.50

Combine like terms: -7.5 + -15 = -22.5
-22.5 + -45 + -4 + x + 2x + 6x = 828.50

Combine like terms: -22.5 + -45 = -67.5
-67.5 + -4 + x + 2x + 6x = 828.50

Combine like terms: -67.5 + -4 = -71.5
-71.5 + x + 2x + 6x = 828.50

Combine like terms: x + 2x = 3x
-71.5 + 3x + 6x = 828.50

Combine like terms: 3x + 6x = 9x
-71.5 + 9x = 828.50

Solving
-71.5 + 9x = 828.50

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 = 828.50 + 71.5

Combine like terms: -71.5 + 71.5 = 0.0
0.0 + 9x = 828.50 + 71.5
9x = 828.50 + 71.5

Combine like terms: 828.50 + 71.5 = 900
9x = 900

Divide each side by '9'.
x = 100

Simplifying
x = 100

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