10x-7=35x+13

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Solution for 10x-7=35x+13 equation:


Simplifying
10x + -7 = 35x + 13

Reorder the terms:
-7 + 10x = 35x + 13

Reorder the terms:
-7 + 10x = 13 + 35x

Solving
-7 + 10x = 13 + 35x

Solving for variable 'x'.

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

Add '-35x' to each side of the equation.
-7 + 10x + -35x = 13 + 35x + -35x

Combine like terms: 10x + -35x = -25x
-7 + -25x = 13 + 35x + -35x

Combine like terms: 35x + -35x = 0
-7 + -25x = 13 + 0
-7 + -25x = 13

Add '7' to each side of the equation.
-7 + 7 + -25x = 13 + 7

Combine like terms: -7 + 7 = 0
0 + -25x = 13 + 7
-25x = 13 + 7

Combine like terms: 13 + 7 = 20
-25x = 20

Divide each side by '-25'.
x = -0.8

Simplifying
x = -0.8

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