4-3(x-6)=8+2(3x-4)

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Solution for 4-3(x-6)=8+2(3x-4) equation:


Simplifying
4 + -3(x + -6) = 8 + 2(3x + -4)

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

Combine like terms: 4 + 18 = 22
22 + -3x = 8 + 2(3x + -4)

Reorder the terms:
22 + -3x = 8 + 2(-4 + 3x)
22 + -3x = 8 + (-4 * 2 + 3x * 2)
22 + -3x = 8 + (-8 + 6x)

Combine like terms: 8 + -8 = 0
22 + -3x = 0 + 6x
22 + -3x = 6x

Solving
22 + -3x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
22 + -3x + -6x = 6x + -6x

Combine like terms: -3x + -6x = -9x
22 + -9x = 6x + -6x

Combine like terms: 6x + -6x = 0
22 + -9x = 0

Add '-22' to each side of the equation.
22 + -22 + -9x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -9x = 0 + -22
-9x = 0 + -22

Combine like terms: 0 + -22 = -22
-9x = -22

Divide each side by '-9'.
x = 2.444444444

Simplifying
x = 2.444444444

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