75+2(2x+4)=16x-2(1-4x)

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Solution for 75+2(2x+4)=16x-2(1-4x) equation:


Simplifying
75 + 2(2x + 4) = 16x + -2(1 + -4x)

Reorder the terms:
75 + 2(4 + 2x) = 16x + -2(1 + -4x)
75 + (4 * 2 + 2x * 2) = 16x + -2(1 + -4x)
75 + (8 + 4x) = 16x + -2(1 + -4x)

Combine like terms: 75 + 8 = 83
83 + 4x = 16x + -2(1 + -4x)
83 + 4x = 16x + (1 * -2 + -4x * -2)
83 + 4x = 16x + (-2 + 8x)

Reorder the terms:
83 + 4x = -2 + 16x + 8x

Combine like terms: 16x + 8x = 24x
83 + 4x = -2 + 24x

Solving
83 + 4x = -2 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
83 + 4x + -24x = -2 + 24x + -24x

Combine like terms: 4x + -24x = -20x
83 + -20x = -2 + 24x + -24x

Combine like terms: 24x + -24x = 0
83 + -20x = -2 + 0
83 + -20x = -2

Add '-83' to each side of the equation.
83 + -83 + -20x = -2 + -83

Combine like terms: 83 + -83 = 0
0 + -20x = -2 + -83
-20x = -2 + -83

Combine like terms: -2 + -83 = -85
-20x = -85

Divide each side by '-20'.
x = 4.25

Simplifying
x = 4.25

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