2x-8(4x-7)-(3x-10)=100

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Solution for 2x-8(4x-7)-(3x-10)=100 equation: 


Simplifying
2x + -8(4x + -7) + -1(3x + -10) = 100

Reorder the terms:
2x + -8(-7 + 4x) + -1(3x + -10) = 100
2x + (-7 * -8 + 4x * -8) + -1(3x + -10) = 100
2x + (56 + -32x) + -1(3x + -10) = 100

Reorder the terms:
2x + 56 + -32x + -1(-10 + 3x) = 100
2x + 56 + -32x + (-10 * -1 + 3x * -1) = 100
2x + 56 + -32x + (10 + -3x) = 100

Reorder the terms:
56 + 10 + 2x + -32x + -3x = 100

Combine like terms: 56 + 10 = 66
66 + 2x + -32x + -3x = 100

Combine like terms: 2x + -32x = -30x
66 + -30x + -3x = 100

Combine like terms: -30x + -3x = -33x
66 + -33x = 100

Solving
66 + -33x = 100

Solving for variable 'x'.

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

Add '-66' to each side of the equation.
66 + -66 + -33x = 100 + -66

Combine like terms: 66 + -66 = 0
0 + -33x = 100 + -66
-33x = 100 + -66

Combine like terms: 100 + -66 = 34
-33x = 34

Divide each side by '-33'.
x = -1.03030303

Simplifying
x = -1.03030303

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