(4x-7)=(x-0.5)

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Solution for (4x-7)=(x-0.5) equation:


Simplifying
(4x + -7) = (x + -0.5)

Reorder the terms:
(-7 + 4x) = (x + -0.5)

Remove parenthesis around (-7 + 4x)
-7 + 4x = (x + -0.5)

Reorder the terms:
-7 + 4x = (-0.5 + x)

Remove parenthesis around (-0.5 + x)
-7 + 4x = -0.5 + x

Solving
-7 + 4x = -0.5 + 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.
-7 + 4x + -1x = -0.5 + x + -1x

Combine like terms: 4x + -1x = 3x
-7 + 3x = -0.5 + x + -1x

Combine like terms: x + -1x = 0
-7 + 3x = -0.5 + 0
-7 + 3x = -0.5

Add '7' to each side of the equation.
-7 + 7 + 3x = -0.5 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = -0.5 + 7
3x = -0.5 + 7

Combine like terms: -0.5 + 7 = 6.5
3x = 6.5

Divide each side by '3'.
x = 2.166666667

Simplifying
x = 2.166666667

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