3(x-2)+3x=2x-5(2x-1)

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Solution for 3(x-2)+3x=2x-5(2x-1) equation:


Simplifying
3(x + -2) + 3x = 2x + -5(2x + -1)

Reorder the terms:
3(-2 + x) + 3x = 2x + -5(2x + -1)
(-2 * 3 + x * 3) + 3x = 2x + -5(2x + -1)
(-6 + 3x) + 3x = 2x + -5(2x + -1)

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

Reorder the terms:
-6 + 6x = 2x + -5(-1 + 2x)
-6 + 6x = 2x + (-1 * -5 + 2x * -5)
-6 + 6x = 2x + (5 + -10x)

Reorder the terms:
-6 + 6x = 5 + 2x + -10x

Combine like terms: 2x + -10x = -8x
-6 + 6x = 5 + -8x

Solving
-6 + 6x = 5 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-6 + 6x + 8x = 5 + -8x + 8x

Combine like terms: 6x + 8x = 14x
-6 + 14x = 5 + -8x + 8x

Combine like terms: -8x + 8x = 0
-6 + 14x = 5 + 0
-6 + 14x = 5

Add '6' to each side of the equation.
-6 + 6 + 14x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 14x = 5 + 6
14x = 5 + 6

Combine like terms: 5 + 6 = 11
14x = 11

Divide each side by '14'.
x = 0.7857142857

Simplifying
x = 0.7857142857

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