3(5x-6)=2(7x+3)

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Solution for 3(5x-6)=2(7x+3) equation:


Simplifying
3(5x + -6) = 2(7x + 3)

Reorder the terms:
3(-6 + 5x) = 2(7x + 3)
(-6 * 3 + 5x * 3) = 2(7x + 3)
(-18 + 15x) = 2(7x + 3)

Reorder the terms:
-18 + 15x = 2(3 + 7x)
-18 + 15x = (3 * 2 + 7x * 2)
-18 + 15x = (6 + 14x)

Solving
-18 + 15x = 6 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-18 + 15x + -14x = 6 + 14x + -14x

Combine like terms: 15x + -14x = 1x
-18 + 1x = 6 + 14x + -14x

Combine like terms: 14x + -14x = 0
-18 + 1x = 6 + 0
-18 + 1x = 6

Add '18' to each side of the equation.
-18 + 18 + 1x = 6 + 18

Combine like terms: -18 + 18 = 0
0 + 1x = 6 + 18
1x = 6 + 18

Combine like terms: 6 + 18 = 24
1x = 24

Divide each side by '1'.
x = 24

Simplifying
x = 24

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