6(2x+1)=3(5x+3)

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Solution for 6(2x+1)=3(5x+3) equation:


Simplifying
6(2x + 1) = 3(5x + 3)

Reorder the terms:
6(1 + 2x) = 3(5x + 3)
(1 * 6 + 2x * 6) = 3(5x + 3)
(6 + 12x) = 3(5x + 3)

Reorder the terms:
6 + 12x = 3(3 + 5x)
6 + 12x = (3 * 3 + 5x * 3)
6 + 12x = (9 + 15x)

Solving
6 + 12x = 9 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
6 + 12x + -15x = 9 + 15x + -15x

Combine like terms: 12x + -15x = -3x
6 + -3x = 9 + 15x + -15x

Combine like terms: 15x + -15x = 0
6 + -3x = 9 + 0
6 + -3x = 9

Add '-6' to each side of the equation.
6 + -6 + -3x = 9 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = 9 + -6
-3x = 9 + -6

Combine like terms: 9 + -6 = 3
-3x = 3

Divide each side by '-3'.
x = -1

Simplifying
x = -1

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