3(10-x)=2(8-x)+3x

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Solution for 3(10-x)=2(8-x)+3x equation:


Simplifying
3(10 + -1x) = 2(8 + -1x) + 3x
(10 * 3 + -1x * 3) = 2(8 + -1x) + 3x
(30 + -3x) = 2(8 + -1x) + 3x
30 + -3x = (8 * 2 + -1x * 2) + 3x
30 + -3x = (16 + -2x) + 3x

Combine like terms: -2x + 3x = 1x
30 + -3x = 16 + 1x

Solving
30 + -3x = 16 + 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.
30 + -3x + -1x = 16 + 1x + -1x

Combine like terms: -3x + -1x = -4x
30 + -4x = 16 + 1x + -1x

Combine like terms: 1x + -1x = 0
30 + -4x = 16 + 0
30 + -4x = 16

Add '-30' to each side of the equation.
30 + -30 + -4x = 16 + -30

Combine like terms: 30 + -30 = 0
0 + -4x = 16 + -30
-4x = 16 + -30

Combine like terms: 16 + -30 = -14
-4x = -14

Divide each side by '-4'.
x = 3.5

Simplifying
x = 3.5

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