5(x-2)-25=6(2-x)

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Solution for 5(x-2)-25=6(2-x) equation:


Simplifying
5(x + -2) + -25 = 6(2 + -1x)

Reorder the terms:
5(-2 + x) + -25 = 6(2 + -1x)
(-2 * 5 + x * 5) + -25 = 6(2 + -1x)
(-10 + 5x) + -25 = 6(2 + -1x)

Reorder the terms:
-10 + -25 + 5x = 6(2 + -1x)

Combine like terms: -10 + -25 = -35
-35 + 5x = 6(2 + -1x)
-35 + 5x = (2 * 6 + -1x * 6)
-35 + 5x = (12 + -6x)

Solving
-35 + 5x = 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.
-35 + 5x + 6x = 12 + -6x + 6x

Combine like terms: 5x + 6x = 11x
-35 + 11x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
-35 + 11x = 12 + 0
-35 + 11x = 12

Add '35' to each side of the equation.
-35 + 35 + 11x = 12 + 35

Combine like terms: -35 + 35 = 0
0 + 11x = 12 + 35
11x = 12 + 35

Combine like terms: 12 + 35 = 47
11x = 47

Divide each side by '11'.
x = 4.272727273

Simplifying
x = 4.272727273

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