4(2x-1)-6x=2-5(x-3)

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Solution for 4(2x-1)-6x=2-5(x-3) equation:


Simplifying
4(2x + -1) + -6x = 2 + -5(x + -3)

Reorder the terms:
4(-1 + 2x) + -6x = 2 + -5(x + -3)
(-1 * 4 + 2x * 4) + -6x = 2 + -5(x + -3)
(-4 + 8x) + -6x = 2 + -5(x + -3)

Combine like terms: 8x + -6x = 2x
-4 + 2x = 2 + -5(x + -3)

Reorder the terms:
-4 + 2x = 2 + -5(-3 + x)
-4 + 2x = 2 + (-3 * -5 + x * -5)
-4 + 2x = 2 + (15 + -5x)

Combine like terms: 2 + 15 = 17
-4 + 2x = 17 + -5x

Solving
-4 + 2x = 17 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-4 + 2x + 5x = 17 + -5x + 5x

Combine like terms: 2x + 5x = 7x
-4 + 7x = 17 + -5x + 5x

Combine like terms: -5x + 5x = 0
-4 + 7x = 17 + 0
-4 + 7x = 17

Add '4' to each side of the equation.
-4 + 4 + 7x = 17 + 4

Combine like terms: -4 + 4 = 0
0 + 7x = 17 + 4
7x = 17 + 4

Combine like terms: 17 + 4 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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