5(x-6)=2(x-1)

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Solution for 5(x-6)=2(x-1) equation:


Simplifying
5(x + -6) = 2(x + -1)

Reorder the terms:
5(-6 + x) = 2(x + -1)
(-6 * 5 + x * 5) = 2(x + -1)
(-30 + 5x) = 2(x + -1)

Reorder the terms:
-30 + 5x = 2(-1 + x)
-30 + 5x = (-1 * 2 + x * 2)
-30 + 5x = (-2 + 2x)

Solving
-30 + 5x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-30 + 5x + -2x = -2 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-30 + 3x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-30 + 3x = -2 + 0
-30 + 3x = -2

Add '30' to each side of the equation.
-30 + 30 + 3x = -2 + 30

Combine like terms: -30 + 30 = 0
0 + 3x = -2 + 30
3x = -2 + 30

Combine like terms: -2 + 30 = 28
3x = 28

Divide each side by '3'.
x = 9.333333333

Simplifying
x = 9.333333333

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