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

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


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

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

Combine like terms: 4x + x = 5x
-6 + 5x = 4 + -1x + 3x

Combine like terms: -1x + 3x = 2x
-6 + 5x = 4 + 2x

Solving
-6 + 5x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-6 + 5x + -2x = 4 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-6 + 3x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 3x = 4 + 0
-6 + 3x = 4

Add '6' to each side of the equation.
-6 + 6 + 3x = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 4 + 6
3x = 4 + 6

Combine like terms: 4 + 6 = 10
3x = 10

Divide each side by '3'.
x = 3.333333333

Simplifying
x = 3.333333333

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