(4x-35)=(x+7)

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Solution for (4x-35)=(x+7) equation:


Simplifying
(4x + -35) = (x + 7)

Reorder the terms:
(-35 + 4x) = (x + 7)

Remove parenthesis around (-35 + 4x)
-35 + 4x = (x + 7)

Reorder the terms:
-35 + 4x = (7 + x)

Remove parenthesis around (7 + x)
-35 + 4x = 7 + x

Solving
-35 + 4x = 7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-35 + 4x + -1x = 7 + x + -1x

Combine like terms: 4x + -1x = 3x
-35 + 3x = 7 + x + -1x

Combine like terms: x + -1x = 0
-35 + 3x = 7 + 0
-35 + 3x = 7

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

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

Combine like terms: 7 + 35 = 42
3x = 42

Divide each side by '3'.
x = 14

Simplifying
x = 14

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