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

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


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

Reorder the terms:
4(-1 + 2x) + -6(3 + -1x) = 3(x)
(-1 * 4 + 2x * 4) + -6(3 + -1x) = 3(x)
(-4 + 8x) + -6(3 + -1x) = 3(x)
-4 + 8x + (3 * -6 + -1x * -6) = 3(x)
-4 + 8x + (-18 + 6x) = 3(x)

Reorder the terms:
-4 + -18 + 8x + 6x = 3(x)

Combine like terms: -4 + -18 = -22
-22 + 8x + 6x = 3(x)

Combine like terms: 8x + 6x = 14x
-22 + 14x = 3(x)

Solving
-22 + 14x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-22 + 14x + -3x = 3x + -3x

Combine like terms: 14x + -3x = 11x
-22 + 11x = 3x + -3x

Combine like terms: 3x + -3x = 0
-22 + 11x = 0

Add '22' to each side of the equation.
-22 + 22 + 11x = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 11x = 0 + 22
11x = 0 + 22

Combine like terms: 0 + 22 = 22
11x = 22

Divide each side by '11'.
x = 2

Simplifying
x = 2

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