3(5x-2)=2(7x+4)

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Solution for 3(5x-2)=2(7x+4) equation:


Simplifying
3(5x + -2) = 2(7x + 4)

Reorder the terms:
3(-2 + 5x) = 2(7x + 4)
(-2 * 3 + 5x * 3) = 2(7x + 4)
(-6 + 15x) = 2(7x + 4)

Reorder the terms:
-6 + 15x = 2(4 + 7x)
-6 + 15x = (4 * 2 + 7x * 2)
-6 + 15x = (8 + 14x)

Solving
-6 + 15x = 8 + 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.
-6 + 15x + -14x = 8 + 14x + -14x

Combine like terms: 15x + -14x = 1x
-6 + 1x = 8 + 14x + -14x

Combine like terms: 14x + -14x = 0
-6 + 1x = 8 + 0
-6 + 1x = 8

Add '6' to each side of the equation.
-6 + 6 + 1x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 8 + 6
1x = 8 + 6

Combine like terms: 8 + 6 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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