2(x-3)=5(4x-1)

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Solution for 2(x-3)=5(4x-1) equation:


Simplifying
2(x + -3) = 5(4x + -1)

Reorder the terms:
2(-3 + x) = 5(4x + -1)
(-3 * 2 + x * 2) = 5(4x + -1)
(-6 + 2x) = 5(4x + -1)

Reorder the terms:
-6 + 2x = 5(-1 + 4x)
-6 + 2x = (-1 * 5 + 4x * 5)
-6 + 2x = (-5 + 20x)

Solving
-6 + 2x = -5 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-6 + 2x + -20x = -5 + 20x + -20x

Combine like terms: 2x + -20x = -18x
-6 + -18x = -5 + 20x + -20x

Combine like terms: 20x + -20x = 0
-6 + -18x = -5 + 0
-6 + -18x = -5

Add '6' to each side of the equation.
-6 + 6 + -18x = -5 + 6

Combine like terms: -6 + 6 = 0
0 + -18x = -5 + 6
-18x = -5 + 6

Combine like terms: -5 + 6 = 1
-18x = 1

Divide each side by '-18'.
x = -0.05555555556

Simplifying
x = -0.05555555556

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