40(x+2)=16(3x)

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Solution for 40(x+2)=16(3x) equation:


Simplifying
40(x + 2) = 16(3x)

Reorder the terms:
40(2 + x) = 16(3x)
(2 * 40 + x * 40) = 16(3x)
(80 + 40x) = 16(3x)

Remove parenthesis around (3x)
80 + 40x = 16 * 3x

Multiply 16 * 3
80 + 40x = 48x

Solving
80 + 40x = 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
80 + 40x + -48x = 48x + -48x

Combine like terms: 40x + -48x = -8x
80 + -8x = 48x + -48x

Combine like terms: 48x + -48x = 0
80 + -8x = 0

Add '-80' to each side of the equation.
80 + -80 + -8x = 0 + -80

Combine like terms: 80 + -80 = 0
0 + -8x = 0 + -80
-8x = 0 + -80

Combine like terms: 0 + -80 = -80
-8x = -80

Divide each side by '-8'.
x = 10

Simplifying
x = 10

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