7x+35=3x-7

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


Simplifying
7x + 35 = 3x + -7

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

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

Solving
35 + 7x = -7 + 3x

Solving for variable 'x'.

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

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

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

Combine like terms: 3x + -3x = 0
35 + 4x = -7 + 0
35 + 4x = -7

Add '-35' to each side of the equation.
35 + -35 + 4x = -7 + -35

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

Combine like terms: -7 + -35 = -42
4x = -42

Divide each side by '4'.
x = -10.5

Simplifying
x = -10.5

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