(x-4)=(2x-7)

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Solution for (x-4)=(2x-7) equation:


Simplifying
(x + -4) = (2x + -7)

Reorder the terms:
(-4 + x) = (2x + -7)

Remove parenthesis around (-4 + x)
-4 + x = (2x + -7)

Reorder the terms:
-4 + x = (-7 + 2x)

Remove parenthesis around (-7 + 2x)
-4 + x = -7 + 2x

Solving
-4 + x = -7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4 + x + -2x = -7 + 2x + -2x

Combine like terms: x + -2x = -1x
-4 + -1x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + -1x = -7 + 0
-4 + -1x = -7

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

Combine like terms: -4 + 4 = 0
0 + -1x = -7 + 4
-1x = -7 + 4

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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