3(2x-1)-11=-2(2-x)

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Solution for 3(2x-1)-11=-2(2-x) equation:


Simplifying
3(2x + -1) + -11 = -2(2 + -1x)

Reorder the terms:
3(-1 + 2x) + -11 = -2(2 + -1x)
(-1 * 3 + 2x * 3) + -11 = -2(2 + -1x)
(-3 + 6x) + -11 = -2(2 + -1x)

Reorder the terms:
-3 + -11 + 6x = -2(2 + -1x)

Combine like terms: -3 + -11 = -14
-14 + 6x = -2(2 + -1x)
-14 + 6x = (2 * -2 + -1x * -2)
-14 + 6x = (-4 + 2x)

Solving
-14 + 6x = -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.
-14 + 6x + -2x = -4 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-14 + 4x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-14 + 4x = -4 + 0
-14 + 4x = -4

Add '14' to each side of the equation.
-14 + 14 + 4x = -4 + 14

Combine like terms: -14 + 14 = 0
0 + 4x = -4 + 14
4x = -4 + 14

Combine like terms: -4 + 14 = 10
4x = 10

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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