5(2x+3)=3(4x+1)

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Solution for 5(2x+3)=3(4x+1) equation:


Simplifying
5(2x + 3) = 3(4x + 1)

Reorder the terms:
5(3 + 2x) = 3(4x + 1)
(3 * 5 + 2x * 5) = 3(4x + 1)
(15 + 10x) = 3(4x + 1)

Reorder the terms:
15 + 10x = 3(1 + 4x)
15 + 10x = (1 * 3 + 4x * 3)
15 + 10x = (3 + 12x)

Solving
15 + 10x = 3 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
15 + 10x + -12x = 3 + 12x + -12x

Combine like terms: 10x + -12x = -2x
15 + -2x = 3 + 12x + -12x

Combine like terms: 12x + -12x = 0
15 + -2x = 3 + 0
15 + -2x = 3

Add '-15' to each side of the equation.
15 + -15 + -2x = 3 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 3 + -15
-2x = 3 + -15

Combine like terms: 3 + -15 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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