3(2x+16)=2(x+20)

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Solution for 3(2x+16)=2(x+20) equation: 


Simplifying
3(2x + 16) = 2(x + 20)

Reorder the terms:
3(16 + 2x) = 2(x + 20)
(16 * 3 + 2x * 3) = 2(x + 20)
(48 + 6x) = 2(x + 20)

Reorder the terms:
48 + 6x = 2(20 + x)
48 + 6x = (20 * 2 + x * 2)
48 + 6x = (40 + 2x)

Solving
48 + 6x = 40 + 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.
48 + 6x + -2x = 40 + 2x + -2x

Combine like terms: 6x + -2x = 4x
48 + 4x = 40 + 2x + -2x

Combine like terms: 2x + -2x = 0
48 + 4x = 40 + 0
48 + 4x = 40

Add '-48' to each side of the equation.
48 + -48 + 4x = 40 + -48

Combine like terms: 48 + -48 = 0
0 + 4x = 40 + -48
4x = 40 + -48

Combine like terms: 40 + -48 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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