20+2(x+4)=3(2x-3)

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Solution for 20+2(x+4)=3(2x-3) equation:


Simplifying
20 + 2(x + 4) = 3(2x + -3)

Reorder the terms:
20 + 2(4 + x) = 3(2x + -3)
20 + (4 * 2 + x * 2) = 3(2x + -3)
20 + (8 + 2x) = 3(2x + -3)

Combine like terms: 20 + 8 = 28
28 + 2x = 3(2x + -3)

Reorder the terms:
28 + 2x = 3(-3 + 2x)
28 + 2x = (-3 * 3 + 2x * 3)
28 + 2x = (-9 + 6x)

Solving
28 + 2x = -9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
28 + 2x + -6x = -9 + 6x + -6x

Combine like terms: 2x + -6x = -4x
28 + -4x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
28 + -4x = -9 + 0
28 + -4x = -9

Add '-28' to each side of the equation.
28 + -28 + -4x = -9 + -28

Combine like terms: 28 + -28 = 0
0 + -4x = -9 + -28
-4x = -9 + -28

Combine like terms: -9 + -28 = -37
-4x = -37

Divide each side by '-4'.
x = 9.25

Simplifying
x = 9.25

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