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

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


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

Reorder the terms:
5(-5 + x) = -2(-2 + 3x)
(-5 * 5 + x * 5) = -2(-2 + 3x)
(-25 + 5x) = -2(-2 + 3x)
-25 + 5x = (-2 * -2 + 3x * -2)
-25 + 5x = (4 + -6x)

Solving
-25 + 5x = 4 + -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.
-25 + 5x + 6x = 4 + -6x + 6x

Combine like terms: 5x + 6x = 11x
-25 + 11x = 4 + -6x + 6x

Combine like terms: -6x + 6x = 0
-25 + 11x = 4 + 0
-25 + 11x = 4

Add '25' to each side of the equation.
-25 + 25 + 11x = 4 + 25

Combine like terms: -25 + 25 = 0
0 + 11x = 4 + 25
11x = 4 + 25

Combine like terms: 4 + 25 = 29
11x = 29

Divide each side by '11'.
x = 2.636363636

Simplifying
x = 2.636363636

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