3(x-2)+28=2(2x+1)

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Solution for 3(x-2)+28=2(2x+1) equation: 


Simplifying
3(x + -2) + 28 = 2(2x + 1)

Reorder the terms:
3(-2 + x) + 28 = 2(2x + 1)
(-2 * 3 + x * 3) + 28 = 2(2x + 1)
(-6 + 3x) + 28 = 2(2x + 1)

Reorder the terms:
-6 + 28 + 3x = 2(2x + 1)

Combine like terms: -6 + 28 = 22
22 + 3x = 2(2x + 1)

Reorder the terms:
22 + 3x = 2(1 + 2x)
22 + 3x = (1 * 2 + 2x * 2)
22 + 3x = (2 + 4x)

Solving
22 + 3x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
22 + 3x + -4x = 2 + 4x + -4x

Combine like terms: 3x + -4x = -1x
22 + -1x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
22 + -1x = 2 + 0
22 + -1x = 2

Add '-22' to each side of the equation.
22 + -22 + -1x = 2 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 2 + -22
-1x = 2 + -22

Combine like terms: 2 + -22 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20

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