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

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


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

Reorder the terms:
4(-3 + x) + 2x = 6x + -3(2x + -1)
(-3 * 4 + x * 4) + 2x = 6x + -3(2x + -1)
(-12 + 4x) + 2x = 6x + -3(2x + -1)

Combine like terms: 4x + 2x = 6x
-12 + 6x = 6x + -3(2x + -1)

Reorder the terms:
-12 + 6x = 6x + -3(-1 + 2x)
-12 + 6x = 6x + (-1 * -3 + 2x * -3)
-12 + 6x = 6x + (3 + -6x)

Reorder the terms:
-12 + 6x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + 6x = 3 + 0
-12 + 6x = 3

Solving
-12 + 6x = 3

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 6x = 3 + 12

Combine like terms: -12 + 12 = 0
0 + 6x = 3 + 12
6x = 3 + 12

Combine like terms: 3 + 12 = 15
6x = 15

Divide each side by '6'.
x = 2.5

Simplifying
x = 2.5

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