x-(5-3x)=2(3m-8)

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Solution for x-(5-3x)=2(3m-8) equation:


Simplifying
x + -1(5 + -3x) = 2(3m + -8)
x + (5 * -1 + -3x * -1) = 2(3m + -8)
x + (-5 + 3x) = 2(3m + -8)

Reorder the terms:
-5 + x + 3x = 2(3m + -8)

Combine like terms: x + 3x = 4x
-5 + 4x = 2(3m + -8)

Reorder the terms:
-5 + 4x = 2(-8 + 3m)
-5 + 4x = (-8 * 2 + 3m * 2)
-5 + 4x = (-16 + 6m)

Solving
-5 + 4x = -16 + 6m

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 4x = -16 + 5 + 6m

Combine like terms: -5 + 5 = 0
0 + 4x = -16 + 5 + 6m
4x = -16 + 5 + 6m

Combine like terms: -16 + 5 = -11
4x = -11 + 6m

Divide each side by '4'.
x = -2.75 + 1.5m

Simplifying
x = -2.75 + 1.5m

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