6(x-5)=-3(x-1)

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Solution for 6(x-5)=-3(x-1) equation:


Simplifying
6(x + -5) = -3(x + -1)

Reorder the terms:
6(-5 + x) = -3(x + -1)
(-5 * 6 + x * 6) = -3(x + -1)
(-30 + 6x) = -3(x + -1)

Reorder the terms:
-30 + 6x = -3(-1 + x)
-30 + 6x = (-1 * -3 + x * -3)
-30 + 6x = (3 + -3x)

Solving
-30 + 6x = 3 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-30 + 6x + 3x = 3 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-30 + 9x = 3 + -3x + 3x

Combine like terms: -3x + 3x = 0
-30 + 9x = 3 + 0
-30 + 9x = 3

Add '30' to each side of the equation.
-30 + 30 + 9x = 3 + 30

Combine like terms: -30 + 30 = 0
0 + 9x = 3 + 30
9x = 3 + 30

Combine like terms: 3 + 30 = 33
9x = 33

Divide each side by '9'.
x = 3.666666667

Simplifying
x = 3.666666667

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