4(3x+5)=5(2x+5)

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Solution for 4(3x+5)=5(2x+5) equation:


Simplifying
4(3x + 5) = 5(2x + 5)

Reorder the terms:
4(5 + 3x) = 5(2x + 5)
(5 * 4 + 3x * 4) = 5(2x + 5)
(20 + 12x) = 5(2x + 5)

Reorder the terms:
20 + 12x = 5(5 + 2x)
20 + 12x = (5 * 5 + 2x * 5)
20 + 12x = (25 + 10x)

Solving
20 + 12x = 25 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
20 + 12x + -10x = 25 + 10x + -10x

Combine like terms: 12x + -10x = 2x
20 + 2x = 25 + 10x + -10x

Combine like terms: 10x + -10x = 0
20 + 2x = 25 + 0
20 + 2x = 25

Add '-20' to each side of the equation.
20 + -20 + 2x = 25 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = 25 + -20
2x = 25 + -20

Combine like terms: 25 + -20 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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