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

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


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

Reorder the terms:
3(-7 + 5x) = 2(3x + 5)
(-7 * 3 + 5x * 3) = 2(3x + 5)
(-21 + 15x) = 2(3x + 5)

Reorder the terms:
-21 + 15x = 2(5 + 3x)
-21 + 15x = (5 * 2 + 3x * 2)
-21 + 15x = (10 + 6x)

Solving
-21 + 15x = 10 + 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.
-21 + 15x + -6x = 10 + 6x + -6x

Combine like terms: 15x + -6x = 9x
-21 + 9x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-21 + 9x = 10 + 0
-21 + 9x = 10

Add '21' to each side of the equation.
-21 + 21 + 9x = 10 + 21

Combine like terms: -21 + 21 = 0
0 + 9x = 10 + 21
9x = 10 + 21

Combine like terms: 10 + 21 = 31
9x = 31

Divide each side by '9'.
x = 3.444444444

Simplifying
x = 3.444444444

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