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

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


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

Reorder the terms:
4 + -6(-3 + 2x) = 3x + -8
4 + (-3 * -6 + 2x * -6) = 3x + -8
4 + (18 + -12x) = 3x + -8

Combine like terms: 4 + 18 = 22
22 + -12x = 3x + -8

Reorder the terms:
22 + -12x = -8 + 3x

Solving
22 + -12x = -8 + 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 + -12x + -3x = -8 + 3x + -3x

Combine like terms: -12x + -3x = -15x
22 + -15x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
22 + -15x = -8 + 0
22 + -15x = -8

Add '-22' to each side of the equation.
22 + -22 + -15x = -8 + -22

Combine like terms: 22 + -22 = 0
0 + -15x = -8 + -22
-15x = -8 + -22

Combine like terms: -8 + -22 = -30
-15x = -30

Divide each side by '-15'.
x = 2

Simplifying
x = 2

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