3(x-5)+8=-(2-x)-25

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Solution for 3(x-5)+8=-(2-x)-25 equation: 


Simplifying
3(x + -5) + 8 = -1(2 + -1x) + -25

Reorder the terms:
3(-5 + x) + 8 = -1(2 + -1x) + -25
(-5 * 3 + x * 3) + 8 = -1(2 + -1x) + -25
(-15 + 3x) + 8 = -1(2 + -1x) + -25

Reorder the terms:
-15 + 8 + 3x = -1(2 + -1x) + -25

Combine like terms: -15 + 8 = -7
-7 + 3x = -1(2 + -1x) + -25
-7 + 3x = (2 * -1 + -1x * -1) + -25
-7 + 3x = (-2 + 1x) + -25

Reorder the terms:
-7 + 3x = -2 + -25 + 1x

Combine like terms: -2 + -25 = -27
-7 + 3x = -27 + 1x

Solving
-7 + 3x = -27 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-7 + 3x + -1x = -27 + 1x + -1x

Combine like terms: 3x + -1x = 2x
-7 + 2x = -27 + 1x + -1x

Combine like terms: 1x + -1x = 0
-7 + 2x = -27 + 0
-7 + 2x = -27

Add '7' to each side of the equation.
-7 + 7 + 2x = -27 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = -27 + 7
2x = -27 + 7

Combine like terms: -27 + 7 = -20
2x = -20

Divide each side by '2'.
x = -10

Simplifying
x = -10

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