3x+35=7x-5

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Solution for 3x+35=7x-5 equation: 


Simplifying
3x + 35 = 7x + -5

Reorder the terms:
35 + 3x = 7x + -5

Reorder the terms:
35 + 3x = -5 + 7x

Solving
35 + 3x = -5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
35 + 3x + -7x = -5 + 7x + -7x

Combine like terms: 3x + -7x = -4x
35 + -4x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
35 + -4x = -5 + 0
35 + -4x = -5

Add '-35' to each side of the equation.
35 + -35 + -4x = -5 + -35

Combine like terms: 35 + -35 = 0
0 + -4x = -5 + -35
-4x = -5 + -35

Combine like terms: -5 + -35 = -40
-4x = -40

Divide each side by '-4'.
x = 10

Simplifying
x = 10

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