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

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


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

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

Reorder the terms:
6 + -2x = 5(5 + -6x)
6 + -2x = (5 * 5 + -6x * 5)
6 + -2x = (25 + -30x)

Solving
6 + -2x = 25 + -30x

Solving for variable 'x'.

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

Add '30x' to each side of the equation.
6 + -2x + 30x = 25 + -30x + 30x

Combine like terms: -2x + 30x = 28x
6 + 28x = 25 + -30x + 30x

Combine like terms: -30x + 30x = 0
6 + 28x = 25 + 0
6 + 28x = 25

Add '-6' to each side of the equation.
6 + -6 + 28x = 25 + -6

Combine like terms: 6 + -6 = 0
0 + 28x = 25 + -6
28x = 25 + -6

Combine like terms: 25 + -6 = 19
28x = 19

Divide each side by '28'.
x = 0.6785714286

Simplifying
x = 0.6785714286

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