5(x+3)-25=6(2-x)

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Solution for 5(x+3)-25=6(2-x) equation:


Simplifying
5(x + 3) + -25 = 6(2 + -1x)

Reorder the terms:
5(3 + x) + -25 = 6(2 + -1x)
(3 * 5 + x * 5) + -25 = 6(2 + -1x)
(15 + 5x) + -25 = 6(2 + -1x)

Reorder the terms:
15 + -25 + 5x = 6(2 + -1x)

Combine like terms: 15 + -25 = -10
-10 + 5x = 6(2 + -1x)
-10 + 5x = (2 * 6 + -1x * 6)
-10 + 5x = (12 + -6x)

Solving
-10 + 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.
-10 + 5x + 6x = 12 + -6x + 6x

Combine like terms: 5x + 6x = 11x
-10 + 11x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
-10 + 11x = 12 + 0
-10 + 11x = 12

Add '10' to each side of the equation.
-10 + 10 + 11x = 12 + 10

Combine like terms: -10 + 10 = 0
0 + 11x = 12 + 10
11x = 12 + 10

Combine like terms: 12 + 10 = 22
11x = 22

Divide each side by '11'.
x = 2

Simplifying
x = 2

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