3x+10=8x-25

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Solution for 3x+10=8x-25 equation: 


Simplifying
3x + 10 = 8x + -25

Reorder the terms:
10 + 3x = 8x + -25

Reorder the terms:
10 + 3x = -25 + 8x

Solving
10 + 3x = -25 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
10 + 3x + -8x = -25 + 8x + -8x

Combine like terms: 3x + -8x = -5x
10 + -5x = -25 + 8x + -8x

Combine like terms: 8x + -8x = 0
10 + -5x = -25 + 0
10 + -5x = -25

Add '-10' to each side of the equation.
10 + -10 + -5x = -25 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = -25 + -10
-5x = -25 + -10

Combine like terms: -25 + -10 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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