3x+5v-2(3z+2)=5v+2b-3a

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


Simplifying
3x + 5v + -2(3z + 2) = 5v + 2b + -3a

Reorder the terms:
3x + 5v + -2(2 + 3z) = 5v + 2b + -3a
3x + 5v + (2 * -2 + 3z * -2) = 5v + 2b + -3a
3x + 5v + (-4 + -6z) = 5v + 2b + -3a

Reorder the terms:
-4 + 5v + 3x + -6z = 5v + 2b + -3a

Reorder the terms:
-4 + 5v + 3x + -6z = -3a + 2b + 5v

Add '-5v' to each side of the equation.
-4 + 5v + 3x + -5v + -6z = -3a + 2b + 5v + -5v

Reorder the terms:
-4 + 5v + -5v + 3x + -6z = -3a + 2b + 5v + -5v

Combine like terms: 5v + -5v = 0
-4 + 0 + 3x + -6z = -3a + 2b + 5v + -5v
-4 + 3x + -6z = -3a + 2b + 5v + -5v

Combine like terms: 5v + -5v = 0
-4 + 3x + -6z = -3a + 2b + 0
-4 + 3x + -6z = -3a + 2b

Solving
-4 + 3x + -6z = -3a + 2b

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 3x + 4 + -6z = -3a + 4 + 2b

Reorder the terms:
-4 + 4 + 3x + -6z = -3a + 4 + 2b

Combine like terms: -4 + 4 = 0
0 + 3x + -6z = -3a + 4 + 2b
3x + -6z = -3a + 4 + 2b

Reorder the terms:
3x + -6z = 4 + -3a + 2b

Add '6z' to each side of the equation.
3x + -6z + 6z = 4 + -3a + 2b + 6z

Combine like terms: -6z + 6z = 0
3x + 0 = 4 + -3a + 2b + 6z
3x = 4 + -3a + 2b + 6z

Divide each side by '3'.
x = 1.333333333 + -1a + 0.6666666667b + 2z

Simplifying
x = 1.333333333 + -1a + 0.6666666667b + 2z

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