(3x+20)=(8x-15)

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Solution for (3x+20)=(8x-15) equation:


Simplifying
(3x + 20) = (8x + -15)

Reorder the terms:
(20 + 3x) = (8x + -15)

Remove parenthesis around (20 + 3x)
20 + 3x = (8x + -15)

Reorder the terms:
20 + 3x = (-15 + 8x)

Remove parenthesis around (-15 + 8x)
20 + 3x = -15 + 8x

Solving
20 + 3x = -15 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
20 + 3x + -8x = -15 + 8x + -8x

Combine like terms: 3x + -8x = -5x
20 + -5x = -15 + 8x + -8x

Combine like terms: 8x + -8x = 0
20 + -5x = -15 + 0
20 + -5x = -15

Add '-20' to each side of the equation.
20 + -20 + -5x = -15 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = -15 + -20
-5x = -15 + -20

Combine like terms: -15 + -20 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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