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

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


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

Reorder the terms:
5(-2 + 5x) = -6(x + 2)
(-2 * 5 + 5x * 5) = -6(x + 2)
(-10 + 25x) = -6(x + 2)

Reorder the terms:
-10 + 25x = -6(2 + x)
-10 + 25x = (2 * -6 + x * -6)
-10 + 25x = (-12 + -6x)

Solving
-10 + 25x = -12 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-10 + 25x + 6x = -12 + -6x + 6x

Combine like terms: 25x + 6x = 31x
-10 + 31x = -12 + -6x + 6x

Combine like terms: -6x + 6x = 0
-10 + 31x = -12 + 0
-10 + 31x = -12

Add '10' to each side of the equation.
-10 + 10 + 31x = -12 + 10

Combine like terms: -10 + 10 = 0
0 + 31x = -12 + 10
31x = -12 + 10

Combine like terms: -12 + 10 = -2
31x = -2

Divide each side by '31'.
x = -0.06451612903

Simplifying
x = -0.06451612903

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