5(2-x)+1=3x-4+x

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Solution for 5(2-x)+1=3x-4+x equation:


Simplifying
5(2 + -1x) + 1 = 3x + -4 + x
(2 * 5 + -1x * 5) + 1 = 3x + -4 + x
(10 + -5x) + 1 = 3x + -4 + x

Reorder the terms:
10 + 1 + -5x = 3x + -4 + x

Combine like terms: 10 + 1 = 11
11 + -5x = 3x + -4 + x

Reorder the terms:
11 + -5x = -4 + 3x + x

Combine like terms: 3x + x = 4x
11 + -5x = -4 + 4x

Solving
11 + -5x = -4 + 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.
11 + -5x + -4x = -4 + 4x + -4x

Combine like terms: -5x + -4x = -9x
11 + -9x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
11 + -9x = -4 + 0
11 + -9x = -4

Add '-11' to each side of the equation.
11 + -11 + -9x = -4 + -11

Combine like terms: 11 + -11 = 0
0 + -9x = -4 + -11
-9x = -4 + -11

Combine like terms: -4 + -11 = -15
-9x = -15

Divide each side by '-9'.
x = 1.666666667

Simplifying
x = 1.666666667

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