4-2(3x-5)=3x-8

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Solution for 4-2(3x-5)=3x-8 equation:


Simplifying
4 + -2(3x + -5) = 3x + -8

Reorder the terms:
4 + -2(-5 + 3x) = 3x + -8
4 + (-5 * -2 + 3x * -2) = 3x + -8
4 + (10 + -6x) = 3x + -8

Combine like terms: 4 + 10 = 14
14 + -6x = 3x + -8

Reorder the terms:
14 + -6x = -8 + 3x

Solving
14 + -6x = -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.
14 + -6x + -3x = -8 + 3x + -3x

Combine like terms: -6x + -3x = -9x
14 + -9x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -9x = -8 + 0
14 + -9x = -8

Add '-14' to each side of the equation.
14 + -14 + -9x = -8 + -14

Combine like terms: 14 + -14 = 0
0 + -9x = -8 + -14
-9x = -8 + -14

Combine like terms: -8 + -14 = -22
-9x = -22

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

Simplifying
x = 2.444444444

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