25(x-3)=12(x+2)-10

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Solution for 25(x-3)=12(x+2)-10 equation: 


Simplifying
25(x + -3) = 12(x + 2) + -10

Reorder the terms:
25(-3 + x) = 12(x + 2) + -10
(-3 * 25 + x * 25) = 12(x + 2) + -10
(-75 + 25x) = 12(x + 2) + -10

Reorder the terms:
-75 + 25x = 12(2 + x) + -10
-75 + 25x = (2 * 12 + x * 12) + -10
-75 + 25x = (24 + 12x) + -10

Reorder the terms:
-75 + 25x = 24 + -10 + 12x

Combine like terms: 24 + -10 = 14
-75 + 25x = 14 + 12x

Solving
-75 + 25x = 14 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-75 + 25x + -12x = 14 + 12x + -12x

Combine like terms: 25x + -12x = 13x
-75 + 13x = 14 + 12x + -12x

Combine like terms: 12x + -12x = 0
-75 + 13x = 14 + 0
-75 + 13x = 14

Add '75' to each side of the equation.
-75 + 75 + 13x = 14 + 75

Combine like terms: -75 + 75 = 0
0 + 13x = 14 + 75
13x = 14 + 75

Combine like terms: 14 + 75 = 89
13x = 89

Divide each side by '13'.
x = 6.846153846

Simplifying
x = 6.846153846

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