10(3x-1)=5(2x-6)

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Solution for 10(3x-1)=5(2x-6) equation:


Simplifying
10(3x + -1) = 5(2x + -6)

Reorder the terms:
10(-1 + 3x) = 5(2x + -6)
(-1 * 10 + 3x * 10) = 5(2x + -6)
(-10 + 30x) = 5(2x + -6)

Reorder the terms:
-10 + 30x = 5(-6 + 2x)
-10 + 30x = (-6 * 5 + 2x * 5)
-10 + 30x = (-30 + 10x)

Solving
-10 + 30x = -30 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-10 + 30x + -10x = -30 + 10x + -10x

Combine like terms: 30x + -10x = 20x
-10 + 20x = -30 + 10x + -10x

Combine like terms: 10x + -10x = 0
-10 + 20x = -30 + 0
-10 + 20x = -30

Add '10' to each side of the equation.
-10 + 10 + 20x = -30 + 10

Combine like terms: -10 + 10 = 0
0 + 20x = -30 + 10
20x = -30 + 10

Combine like terms: -30 + 10 = -20
20x = -20

Divide each side by '20'.
x = -1

Simplifying
x = -1

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