25-5*(x+3)+2*(3x-5)=-6x+14

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Solution for 25-5*(x+3)+2*(3x-5)=-6x+14 equation: 


Simplifying
25 + -5(x + 3) + 2(3x + -5) = -6x + 14

Reorder the terms:
25 + -5(3 + x) + 2(3x + -5) = -6x + 14
25 + (3 * -5 + x * -5) + 2(3x + -5) = -6x + 14
25 + (-15 + -5x) + 2(3x + -5) = -6x + 14

Reorder the terms:
25 + -15 + -5x + 2(-5 + 3x) = -6x + 14
25 + -15 + -5x + (-5 * 2 + 3x * 2) = -6x + 14
25 + -15 + -5x + (-10 + 6x) = -6x + 14

Reorder the terms:
25 + -15 + -10 + -5x + 6x = -6x + 14

Combine like terms: 25 + -15 = 10
10 + -10 + -5x + 6x = -6x + 14

Combine like terms: 10 + -10 = 0
0 + -5x + 6x = -6x + 14
-5x + 6x = -6x + 14

Combine like terms: -5x + 6x = 1x
1x = -6x + 14

Reorder the terms:
1x = 14 + -6x

Solving
1x = 14 + -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.
1x + 6x = 14 + -6x + 6x

Combine like terms: 1x + 6x = 7x
7x = 14 + -6x + 6x

Combine like terms: -6x + 6x = 0
7x = 14 + 0
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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