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

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


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

Reorder the terms:
2(-3 + x) + x = 3(4 + -1x) + 2x
(-3 * 2 + x * 2) + x = 3(4 + -1x) + 2x
(-6 + 2x) + x = 3(4 + -1x) + 2x

Combine like terms: 2x + x = 3x
-6 + 3x = 3(4 + -1x) + 2x
-6 + 3x = (4 * 3 + -1x * 3) + 2x
-6 + 3x = (12 + -3x) + 2x

Combine like terms: -3x + 2x = -1x
-6 + 3x = 12 + -1x

Solving
-6 + 3x = 12 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 3x + x = 12 + -1x + x

Combine like terms: 3x + x = 4x
-6 + 4x = 12 + -1x + x

Combine like terms: -1x + x = 0
-6 + 4x = 12 + 0
-6 + 4x = 12

Add '6' to each side of the equation.
-6 + 6 + 4x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 12 + 6
4x = 12 + 6

Combine like terms: 12 + 6 = 18
4x = 18

Divide each side by '4'.
x = 4.5

Simplifying
x = 4.5

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