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

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


Simplifying
3(2 + -1x) + x = 5(2x + -1) + 2
(2 * 3 + -1x * 3) + x = 5(2x + -1) + 2
(6 + -3x) + x = 5(2x + -1) + 2

Combine like terms: -3x + x = -2x
6 + -2x = 5(2x + -1) + 2

Reorder the terms:
6 + -2x = 5(-1 + 2x) + 2
6 + -2x = (-1 * 5 + 2x * 5) + 2
6 + -2x = (-5 + 10x) + 2

Reorder the terms:
6 + -2x = -5 + 2 + 10x

Combine like terms: -5 + 2 = -3
6 + -2x = -3 + 10x

Solving
6 + -2x = -3 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + -2x + -10x = -3 + 10x + -10x

Combine like terms: -2x + -10x = -12x
6 + -12x = -3 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -12x = -3 + 0
6 + -12x = -3

Add '-6' to each side of the equation.
6 + -6 + -12x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -12x = -3 + -6
-12x = -3 + -6

Combine like terms: -3 + -6 = -9
-12x = -9

Divide each side by '-12'.
x = 0.75

Simplifying
x = 0.75

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