100x=4(x+2)-2(x-4)+32

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Solution for 100x=4(x+2)-2(x-4)+32 equation:


Simplifying
100x = 4(x + 2) + -2(x + -4) + 32

Reorder the terms:
100x = 4(2 + x) + -2(x + -4) + 32
100x = (2 * 4 + x * 4) + -2(x + -4) + 32
100x = (8 + 4x) + -2(x + -4) + 32

Reorder the terms:
100x = 8 + 4x + -2(-4 + x) + 32
100x = 8 + 4x + (-4 * -2 + x * -2) + 32
100x = 8 + 4x + (8 + -2x) + 32

Reorder the terms:
100x = 8 + 8 + 32 + 4x + -2x

Combine like terms: 8 + 8 = 16
100x = 16 + 32 + 4x + -2x

Combine like terms: 16 + 32 = 48
100x = 48 + 4x + -2x

Combine like terms: 4x + -2x = 2x
100x = 48 + 2x

Solving
100x = 48 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
100x + -2x = 48 + 2x + -2x

Combine like terms: 100x + -2x = 98x
98x = 48 + 2x + -2x

Combine like terms: 2x + -2x = 0
98x = 48 + 0
98x = 48

Divide each side by '98'.
x = 0.4897959184

Simplifying
x = 0.4897959184

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