4(2-x)=3x-6

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


Simplifying
4(2 + -1x) = 3x + -6
(2 * 4 + -1x * 4) = 3x + -6
(8 + -4x) = 3x + -6

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

Solving
8 + -4x = -6 + 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.
8 + -4x + -3x = -6 + 3x + -3x

Combine like terms: -4x + -3x = -7x
8 + -7x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -7x = -6 + 0
8 + -7x = -6

Add '-8' to each side of the equation.
8 + -8 + -7x = -6 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = -6 + -8
-7x = -6 + -8

Combine like terms: -6 + -8 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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