20(x+2.50)=15(2x+1)

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Solution for 20(x+2.50)=15(2x+1) equation:


Simplifying
20(x + 2.50) = 15(2x + 1)

Reorder the terms:
20(2.50 + x) = 15(2x + 1)
(2.50 * 20 + x * 20) = 15(2x + 1)
(50 + 20x) = 15(2x + 1)

Reorder the terms:
50 + 20x = 15(1 + 2x)
50 + 20x = (1 * 15 + 2x * 15)
50 + 20x = (15 + 30x)

Solving
50 + 20x = 15 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
50 + 20x + -30x = 15 + 30x + -30x

Combine like terms: 20x + -30x = -10x
50 + -10x = 15 + 30x + -30x

Combine like terms: 30x + -30x = 0
50 + -10x = 15 + 0
50 + -10x = 15

Add '-50' to each side of the equation.
50 + -50 + -10x = 15 + -50

Combine like terms: 50 + -50 = 0
0 + -10x = 15 + -50
-10x = 15 + -50

Combine like terms: 15 + -50 = -35
-10x = -35

Divide each side by '-10'.
x = 3.5

Simplifying
x = 3.5

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