(x+7)=(4x-5)

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Solution for (x+7)=(4x-5) equation:


Simplifying
(x + 7) = (4x + -5)

Reorder the terms:
(7 + x) = (4x + -5)

Remove parenthesis around (7 + x)
7 + x = (4x + -5)

Reorder the terms:
7 + x = (-5 + 4x)

Remove parenthesis around (-5 + 4x)
7 + x = -5 + 4x

Solving
7 + x = -5 + 4x

Solving for variable 'x'.

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

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

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

Combine like terms: 4x + -4x = 0
7 + -3x = -5 + 0
7 + -3x = -5

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

Combine like terms: 7 + -7 = 0
0 + -3x = -5 + -7
-3x = -5 + -7

Combine like terms: -5 + -7 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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