30(x-1)=-5(6-x)

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Solution for 30(x-1)=-5(6-x) equation:


Simplifying
30(x + -1) = -5(6 + -1x)

Reorder the terms:
30(-1 + x) = -5(6 + -1x)
(-1 * 30 + x * 30) = -5(6 + -1x)
(-30 + 30x) = -5(6 + -1x)
-30 + 30x = (6 * -5 + -1x * -5)
-30 + 30x = (-30 + 5x)

Add '30' to each side of the equation.
-30 + 30 + 30x = -30 + 30 + 5x

Combine like terms: -30 + 30 = 0
0 + 30x = -30 + 30 + 5x
30x = -30 + 30 + 5x

Combine like terms: -30 + 30 = 0
30x = 0 + 5x
30x = 5x

Solving
30x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
30x + -5x = 5x + -5x

Combine like terms: 30x + -5x = 25x
25x = 5x + -5x

Combine like terms: 5x + -5x = 0
25x = 0

Divide each side by '25'.
x = 0

Simplifying
x = 0

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