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

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


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

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

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

Reorder the terms:
-5 + 7x = 4(-7 + x)
-5 + 7x = (-7 * 4 + x * 4)
-5 + 7x = (-28 + 4x)

Solving
-5 + 7x = -28 + 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.
-5 + 7x + -4x = -28 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-5 + 3x = -28 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + 3x = -28 + 0
-5 + 3x = -28

Add '5' to each side of the equation.
-5 + 5 + 3x = -28 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = -28 + 5
3x = -28 + 5

Combine like terms: -28 + 5 = -23
3x = -23

Divide each side by '3'.
x = -7.666666667

Simplifying
x = -7.666666667

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