.5(4x-2)=6-(3x+2)

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Solution for .5(4x-2)=6-(3x+2) equation:


Simplifying
0.5(4x + -2) = 6 + -1(3x + 2)

Reorder the terms:
0.5(-2 + 4x) = 6 + -1(3x + 2)
(-2 * 0.5 + 4x * 0.5) = 6 + -1(3x + 2)
(-1 + 2x) = 6 + -1(3x + 2)

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

Combine like terms: 6 + -2 = 4
-1 + 2x = 4 + -3x

Solving
-1 + 2x = 4 + -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.
-1 + 2x + 3x = 4 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-1 + 5x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
-1 + 5x = 4 + 0
-1 + 5x = 4

Add '1' to each side of the equation.
-1 + 1 + 5x = 4 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 4 + 1
5x = 4 + 1

Combine like terms: 4 + 1 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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