(2x-7+x-4).5=x

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Solution for (2x-7+x-4).5=x equation:


Simplifying
(2x + -7 + x + -4) * 0.5 = x

Reorder the terms:
(-7 + -4 + 2x + x) * 0.5 = x

Combine like terms: -7 + -4 = -11
(-11 + 2x + x) * 0.5 = x

Combine like terms: 2x + x = 3x
(-11 + 3x) * 0.5 = x

Reorder the terms for easier multiplication:
0.5(-11 + 3x) = x
(-11 * 0.5 + 3x * 0.5) = x
(-5.5 + 1.5x) = x

Solving
-5.5 + 1.5x = 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.
-5.5 + 1.5x + -1x = x + -1x

Combine like terms: 1.5x + -1x = 0.5x
-5.5 + 0.5x = x + -1x

Combine like terms: x + -1x = 0
-5.5 + 0.5x = 0

Add '5.5' to each side of the equation.
-5.5 + 5.5 + 0.5x = 0 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + 0.5x = 0 + 5.5
0.5x = 0 + 5.5

Combine like terms: 0 + 5.5 = 5.5
0.5x = 5.5

Divide each side by '0.5'.
x = 11

Simplifying
x = 11

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