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

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


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

Reorder the terms:
3(-5 + 2x) = 4(x + 3)
(-5 * 3 + 2x * 3) = 4(x + 3)
(-15 + 6x) = 4(x + 3)

Reorder the terms:
-15 + 6x = 4(3 + x)
-15 + 6x = (3 * 4 + x * 4)
-15 + 6x = (12 + 4x)

Solving
-15 + 6x = 12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-15 + 6x + -4x = 12 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-15 + 2x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + 2x = 12 + 0
-15 + 2x = 12

Add '15' to each side of the equation.
-15 + 15 + 2x = 12 + 15

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

Combine like terms: 12 + 15 = 27
2x = 27

Divide each side by '2'.
x = 13.5

Simplifying
x = 13.5

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