5(x-1)=2(x+2)-x

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Solution for 5(x-1)=2(x+2)-x equation:


Simplifying
5(x + -1) = 2(x + 2) + -1x

Reorder the terms:
5(-1 + x) = 2(x + 2) + -1x
(-1 * 5 + x * 5) = 2(x + 2) + -1x
(-5 + 5x) = 2(x + 2) + -1x

Reorder the terms:
-5 + 5x = 2(2 + x) + -1x
-5 + 5x = (2 * 2 + x * 2) + -1x
-5 + 5x = (4 + 2x) + -1x

Combine like terms: 2x + -1x = 1x
-5 + 5x = 4 + 1x

Solving
-5 + 5x = 4 + 1x

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 + 5x + -1x = 4 + 1x + -1x

Combine like terms: 5x + -1x = 4x
-5 + 4x = 4 + 1x + -1x

Combine like terms: 1x + -1x = 0
-5 + 4x = 4 + 0
-5 + 4x = 4

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

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

Combine like terms: 4 + 5 = 9
4x = 9

Divide each side by '4'.
x = 2.25

Simplifying
x = 2.25

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