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

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


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

Reorder the terms:
6(-2 + 3x) = 5(2x + -2)
(-2 * 6 + 3x * 6) = 5(2x + -2)
(-12 + 18x) = 5(2x + -2)

Reorder the terms:
-12 + 18x = 5(-2 + 2x)
-12 + 18x = (-2 * 5 + 2x * 5)
-12 + 18x = (-10 + 10x)

Solving
-12 + 18x = -10 + 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.
-12 + 18x + -10x = -10 + 10x + -10x

Combine like terms: 18x + -10x = 8x
-12 + 8x = -10 + 10x + -10x

Combine like terms: 10x + -10x = 0
-12 + 8x = -10 + 0
-12 + 8x = -10

Add '12' to each side of the equation.
-12 + 12 + 8x = -10 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = -10 + 12
8x = -10 + 12

Combine like terms: -10 + 12 = 2
8x = 2

Divide each side by '8'.
x = 0.25

Simplifying
x = 0.25

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