16(2x+20)=40(x+2)

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Solution for 16(2x+20)=40(x+2) equation:


Simplifying
16(2x + 20) = 40(x + 2)

Reorder the terms:
16(20 + 2x) = 40(x + 2)
(20 * 16 + 2x * 16) = 40(x + 2)
(320 + 32x) = 40(x + 2)

Reorder the terms:
320 + 32x = 40(2 + x)
320 + 32x = (2 * 40 + x * 40)
320 + 32x = (80 + 40x)

Solving
320 + 32x = 80 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
320 + 32x + -40x = 80 + 40x + -40x

Combine like terms: 32x + -40x = -8x
320 + -8x = 80 + 40x + -40x

Combine like terms: 40x + -40x = 0
320 + -8x = 80 + 0
320 + -8x = 80

Add '-320' to each side of the equation.
320 + -320 + -8x = 80 + -320

Combine like terms: 320 + -320 = 0
0 + -8x = 80 + -320
-8x = 80 + -320

Combine like terms: 80 + -320 = -240
-8x = -240

Divide each side by '-8'.
x = 30

Simplifying
x = 30

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