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

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


Simplifying
0.5(6x + -2) + -2x = 5(x + 2) + -3

Reorder the terms:
0.5(-2 + 6x) + -2x = 5(x + 2) + -3
(-2 * 0.5 + 6x * 0.5) + -2x = 5(x + 2) + -3
(-1 + 3x) + -2x = 5(x + 2) + -3

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

Reorder the terms:
-1 + 1x = 5(2 + x) + -3
-1 + 1x = (2 * 5 + x * 5) + -3
-1 + 1x = (10 + 5x) + -3

Reorder the terms:
-1 + 1x = 10 + -3 + 5x

Combine like terms: 10 + -3 = 7
-1 + 1x = 7 + 5x

Solving
-1 + 1x = 7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-1 + 1x + -5x = 7 + 5x + -5x

Combine like terms: 1x + -5x = -4x
-1 + -4x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-1 + -4x = 7 + 0
-1 + -4x = 7

Add '1' to each side of the equation.
-1 + 1 + -4x = 7 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = 7 + 1
-4x = 7 + 1

Combine like terms: 7 + 1 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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