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

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


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

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

Reorder the terms:
-6 + 5 + 3v = 2(3x + -5)

Combine like terms: -6 + 5 = -1
-1 + 3v = 2(3x + -5)

Reorder the terms:
-1 + 3v = 2(-5 + 3x)
-1 + 3v = (-5 * 2 + 3x * 2)
-1 + 3v = (-10 + 6x)

Solving
-1 + 3v = -10 + 6x

Solving for variable 'v'.

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

Add '1' to each side of the equation.
-1 + 1 + 3v = -10 + 1 + 6x

Combine like terms: -1 + 1 = 0
0 + 3v = -10 + 1 + 6x
3v = -10 + 1 + 6x

Combine like terms: -10 + 1 = -9
3v = -9 + 6x

Divide each side by '3'.
v = -3 + 2x

Simplifying
v = -3 + 2x

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