-25(x+8)=3(x+6)-8

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Solution for -25(x+8)=3(x+6)-8 equation: 


Simplifying
-25(x + 8) = 3(x + 6) + -8

Reorder the terms:
-25(8 + x) = 3(x + 6) + -8
(8 * -25 + x * -25) = 3(x + 6) + -8
(-200 + -25x) = 3(x + 6) + -8

Reorder the terms:
-200 + -25x = 3(6 + x) + -8
-200 + -25x = (6 * 3 + x * 3) + -8
-200 + -25x = (18 + 3x) + -8

Reorder the terms:
-200 + -25x = 18 + -8 + 3x

Combine like terms: 18 + -8 = 10
-200 + -25x = 10 + 3x

Solving
-200 + -25x = 10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-200 + -25x + -3x = 10 + 3x + -3x

Combine like terms: -25x + -3x = -28x
-200 + -28x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-200 + -28x = 10 + 0
-200 + -28x = 10

Add '200' to each side of the equation.
-200 + 200 + -28x = 10 + 200

Combine like terms: -200 + 200 = 0
0 + -28x = 10 + 200
-28x = 10 + 200

Combine like terms: 10 + 200 = 210
-28x = 210

Divide each side by '-28'.
x = -7.5

Simplifying
x = -7.5

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