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

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


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

Reorder the terms:
3(3 + 4x) = 5(2x + 5)
(3 * 3 + 4x * 3) = 5(2x + 5)
(9 + 12x) = 5(2x + 5)

Reorder the terms:
9 + 12x = 5(5 + 2x)
9 + 12x = (5 * 5 + 2x * 5)
9 + 12x = (25 + 10x)

Solving
9 + 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.
9 + 12x + -10x = 25 + 10x + -10x

Combine like terms: 12x + -10x = 2x
9 + 2x = 25 + 10x + -10x

Combine like terms: 10x + -10x = 0
9 + 2x = 25 + 0
9 + 2x = 25

Add '-9' to each side of the equation.
9 + -9 + 2x = 25 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 25 + -9
2x = 25 + -9

Combine like terms: 25 + -9 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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