2(x-3)+5=3(w-1)

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Solution for 2(x-3)+5=3(w-1) equation:


Simplifying
2(x + -3) + 5 = 3(w + -1)

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

Reorder the terms:
-6 + 5 + 2x = 3(w + -1)

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

Reorder the terms:
-1 + 2x = 3(-1 + w)
-1 + 2x = (-1 * 3 + w * 3)
-1 + 2x = (-3 + 3w)

Solving
-1 + 2x = -3 + 3w

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 2x = -3 + 1 + 3w

Combine like terms: -1 + 1 = 0
0 + 2x = -3 + 1 + 3w
2x = -3 + 1 + 3w

Combine like terms: -3 + 1 = -2
2x = -2 + 3w

Divide each side by '2'.
x = -1 + 1.5w

Simplifying
x = -1 + 1.5w

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