3(x-2b)=2(x-a)-5

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


Simplifying
3(x + -2b) = 2(x + -1a) + -5

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

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

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

Solving
-6b + 3x = -5 + -2a + 2x

Solving for variable 'b'.

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

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

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

Combine like terms: 2x + -3x = -1x
-6b = -5 + -2a + -1x

Divide each side by '-6'.
b = 0.8333333333 + 0.3333333333a + 0.1666666667x

Simplifying
b = 0.8333333333 + 0.3333333333a + 0.1666666667x

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