3x+25=10x-52

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Solution for 3x+25=10x-52 equation:


Simplifying
3x + 25 = 10x + -52

Reorder the terms:
25 + 3x = 10x + -52

Reorder the terms:
25 + 3x = -52 + 10x

Solving
25 + 3x = -52 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
25 + 3x + -10x = -52 + 10x + -10x

Combine like terms: 3x + -10x = -7x
25 + -7x = -52 + 10x + -10x

Combine like terms: 10x + -10x = 0
25 + -7x = -52 + 0
25 + -7x = -52

Add '-25' to each side of the equation.
25 + -25 + -7x = -52 + -25

Combine like terms: 25 + -25 = 0
0 + -7x = -52 + -25
-7x = -52 + -25

Combine like terms: -52 + -25 = -77
-7x = -77

Divide each side by '-7'.
x = 11

Simplifying
x = 11

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