8(3x+7)+4(5x-1)=100

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Solution for 8(3x+7)+4(5x-1)=100 equation:


Simplifying
8(3x + 7) + 4(5x + -1) = 100

Reorder the terms:
8(7 + 3x) + 4(5x + -1) = 100
(7 * 8 + 3x * 8) + 4(5x + -1) = 100
(56 + 24x) + 4(5x + -1) = 100

Reorder the terms:
56 + 24x + 4(-1 + 5x) = 100
56 + 24x + (-1 * 4 + 5x * 4) = 100
56 + 24x + (-4 + 20x) = 100

Reorder the terms:
56 + -4 + 24x + 20x = 100

Combine like terms: 56 + -4 = 52
52 + 24x + 20x = 100

Combine like terms: 24x + 20x = 44x
52 + 44x = 100

Solving
52 + 44x = 100

Solving for variable 'x'.

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

Add '-52' to each side of the equation.
52 + -52 + 44x = 100 + -52

Combine like terms: 52 + -52 = 0
0 + 44x = 100 + -52
44x = 100 + -52

Combine like terms: 100 + -52 = 48
44x = 48

Divide each side by '44'.
x = 1.090909091

Simplifying
x = 1.090909091

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