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

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


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

Reorder the terms:
5(-3 + x) = 6(2x + 1)
(-3 * 5 + x * 5) = 6(2x + 1)
(-15 + 5x) = 6(2x + 1)

Reorder the terms:
-15 + 5x = 6(1 + 2x)
-15 + 5x = (1 * 6 + 2x * 6)
-15 + 5x = (6 + 12x)

Solving
-15 + 5x = 6 + 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 + 5x + -12x = 6 + 12x + -12x

Combine like terms: 5x + -12x = -7x
-15 + -7x = 6 + 12x + -12x

Combine like terms: 12x + -12x = 0
-15 + -7x = 6 + 0
-15 + -7x = 6

Add '15' to each side of the equation.
-15 + 15 + -7x = 6 + 15

Combine like terms: -15 + 15 = 0
0 + -7x = 6 + 15
-7x = 6 + 15

Combine like terms: 6 + 15 = 21
-7x = 21

Divide each side by '-7'.
x = -3

Simplifying
x = -3

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