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

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


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

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

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

Reorder the terms:
-2 + 3 + 2x + 6x = 2x

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

Combine like terms: 2x + 6x = 8x
1 + 8x = 2x

Solving
1 + 8x = 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.
1 + 8x + -2x = 2x + -2x

Combine like terms: 8x + -2x = 6x
1 + 6x = 2x + -2x

Combine like terms: 2x + -2x = 0
1 + 6x = 0

Add '-1' to each side of the equation.
1 + -1 + 6x = 0 + -1

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

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

Divide each side by '6'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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