6(2x-5)=3(2x+4)

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Solution for 6(2x-5)=3(2x+4) equation:


Simplifying
6(2x + -5) = 3(2x + 4)

Reorder the terms:
6(-5 + 2x) = 3(2x + 4)
(-5 * 6 + 2x * 6) = 3(2x + 4)
(-30 + 12x) = 3(2x + 4)

Reorder the terms:
-30 + 12x = 3(4 + 2x)
-30 + 12x = (4 * 3 + 2x * 3)
-30 + 12x = (12 + 6x)

Solving
-30 + 12x = 12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-30 + 12x + -6x = 12 + 6x + -6x

Combine like terms: 12x + -6x = 6x
-30 + 6x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-30 + 6x = 12 + 0
-30 + 6x = 12

Add '30' to each side of the equation.
-30 + 30 + 6x = 12 + 30

Combine like terms: -30 + 30 = 0
0 + 6x = 12 + 30
6x = 12 + 30

Combine like terms: 12 + 30 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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